Edit Profile (opens in new tab) Izumiya, Shyuichi Co-Author Distance Author ID: izumiya.shyuichi Published as: Izumiya, Shyuichi; Izumiya, S.; Izumiya, Shyūichi; Izumiya, Shyûichi; Izumiya, Shyüichi more...less Further Spellings: 泉屋 周一 Homepage: https://researchmap.jp/izumiya/ External Links: MGP · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · GND · IdRef Videos: carmin.tv Documents Indexed: 166 Publications since 1979, including 1 Book and 2 Additional arXiv Preprints 6 Contributions as Editor Reviewing Activity: 58 Reviews Biographic References: 1 Publication Co-Authors: 77 Co-Authors with 126 Joint Publications 894 Co-Co-Authors all top 5 Co-Authors 46 single-authored 18 Takahashi, Masatomo 17 Pei, Donghe 16 Romero-Fuster, María Carmen 12 Saji, Kentaro 10 Takeuchi, Nobuko 8 Ishikawa, Goo 7 Tari, Farid 6 Chen, Liang 6 Kossioris, Georgios T. 6 Sano, Takasi 5 Jiang, Yang 5 Sato, Takami 5 Teramoto, Hiroshi 4 Yildirim, Handan 3 Janeczko, Stanisław 3 Kondo, Kenji 3 Li, Bing 3 Marar, Washington Luiz 3 Nabarro, Ana Claudia 3 Soares Ruas, Maria Aparecida 3 Sacramento, Andrea de Jesus 3 Sun, Weizhi 3 Toda, Mikito 2 Buosi, Marcelo 2 Domitrz, Wojciech 2 Hananoi, Satoshi 2 Hayashi, Ryota 2 Honda, Atsufumi 2 Ito, Noriaki 2 Komatsuzaki, Tamiki 2 Kurokawa, Yasuhiro 2 Nagai, Takayuki 2 Takiyama, Akihiro 2 Teramoto, Keisuke 2 Yu, Jianming 1 Asayama, Mikuri 1 Ashino, Takashi 1 Chino, Sachiko 1 Davydov, Alekseĭ Aleksandrovich 1 Fukuda, Toshisumi 1 Fukui, Toshizumi 1 Fusho, Takesi 1 Giblin, Peter J. 1 Hayakawa, Akihiro 1 Honda, Shun’ichi 1 Huang, Jie 1 Ichiwara, Hisayoshi 1 Kasedou, Masaki 1 Katsumi, Haruyo 1 Kikuchi, Makoto 1 Kogo, Y. 1 Koike, Satoshi 1 Komatsuzaki, And T. 1 Kossowski, Marek 1 Makrakis, George N. 1 Maruyama, Kunihide 1 Matsuda, Kouichi 1 Matsuoka, Sachiko 1 Minakawa, Hiroyuki 1 Nishimori, Toshiyuki 1 Nuño-Ballesteros, Juan José 1 Otani, Saki 1 Sannami, Atsuro 1 Sano, Takashi 1 Şekerci, Gülşah Aydın 1 Shimada, Ichiro 1 Takamura, Masashi 1 Tamaoki, Aiko 1 Tokunaga, Hiro-o 1 Torii, Erika 1 Tsuchida, Asahi 1 Wang, Yongqiao 1 Watanabe, Kazuo 1 Yamaguchi, Keizo 1 Yamamoto, Minoru 1 Yamamoto, Takahiro 1 Yamasaki, Takako all top 5 Serials 9 Journal of Singularities 7 Journal of Geometry 7 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Journal of Geometry and Physics 5 Journal of Mathematical Physics 4 Demonstratio Mathematica 4 Journal of the Mathematical Society of Japan 3 Beiträge zur Algebra und Geometrie 3 Geometriae Dedicata 3 Hokkaido Mathematical Journal 3 Kodai Mathematical Journal 3 Manuscripta Mathematica 3 Proceedings of the American Mathematical Society 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Topology and its Applications 3 Note di Matematica 3 Differential Geometry and its Applications 3 Advances in Geometry 2 Canadian Mathematical Bulletin 2 Journal of the London Mathematical Society. Second Series 2 Osaka Journal of Mathematics 2 Proceedings of the Japan Academy. Series A 2 Publicationes Mathematicae Debrecen 2 Kobe Journal of Mathematics 2 Revista Matemática Iberoamericana 2 Journal of Mathematical Sciences (New York) 2 RIMS Kokyuroku 2 Bulletin of the Brazilian Mathematical Society. New Series 2 International Journal of Geometric Methods in Modern Physics 2 Advanced Studies in Pure Mathematics 1 Archive for Rational Mechanics and Analysis 1 Houston Journal of Mathematics 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Boletim da Sociedade Brasileira de Matemática 1 Bulletin of the London Mathematical Society 1 Colloquium Mathematicum 1 Glasgow Mathematical Journal 1 Hiroshima Mathematical Journal 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Mathematical Journal of Okayama University 1 Mathematische Nachrichten 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quarterly of Applied Mathematics 1 Results in Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Tsukuba Journal of Mathematics 1 Annals of Global Analysis and Geometry 1 Sūgaku 1 International Journal of Mathematics 1 Acta Mathematica Sinica. New Series 1 Journal of Knot Theory and its Ramifications 1 Communications in Analysis and Geometry 1 Turkish Journal of Mathematics 1 Selecta Mathematica. New Series 1 Methods and Applications of Analysis 1 Bulletin des Sciences Mathématiques 1 Matemática Contemporânea 1 The Asian Journal of Mathematics 1 Advances in Theoretical and Mathematical Physics 1 Communications of the Korean Mathematical Society 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 The Quarterly Journal of Mathematics 1 Moscow Mathematical Journal 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Mediterranean Journal of Mathematics 1 Pitman Research Notes in Mathematics Series 1 Proceedings of the Steklov Institute of Mathematics 1 RIMS Kôkyûroku Bessatsu 1 Japanese Journal of Mathematics. 3rd Series 1 Science China. Mathematics 1 International Journal of Geometry 1 Nonlinear Analysis. Theory, Methods & Applications 1 Research in the Mathematical Sciences all top 5 Fields 97 Differential geometry (53-XX) 97 Global analysis, analysis on manifolds (58-XX) 39 Manifolds and cell complexes (57-XX) 28 Partial differential equations (35-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Several complex variables and analytic spaces (32-XX) 7 Relativity and gravitational theory (83-XX) 6 General and overarching topics; collections (00-XX) 6 Ordinary differential equations (34-XX) 4 Fluid mechanics (76-XX) 3 Algebraic geometry (14-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 134 Publications have been cited 1,377 times in 600 Documents Cited by ▼ Year ▼ New special curves and developable surfaces. Zbl 1081.53003 Izumiya, Shyuichi; Takeuchi, Nobuko 138 2004 Differential geometry from a singularity theory viewpoint. Zbl 1369.53004 Izumiya, Shyuichi; Romero Fuster, Maria del Carmen; Ruas, Maria Aparecida Soares; Tari, Farid 71 2016 Singularities of hyperbolic Gauss maps. Zbl 1041.58017 Izumiya, Shyuichi; Pei, Donghe; Sano, Takasi 51 2003 Legendrian dualities and spacelike hypersurfaces in the lightcone. Zbl 1188.53055 Izumiya, Shyuichi 49 2009 Horospherical flat surfaces in hyperbolic 3-space. Zbl 1205.53065 Izumiya, Shyuichi; Saji, Kentaro; Takahashi, Masatomo 43 2010 Generic properties of helices and Bertrand curves. Zbl 1031.53007 Izumiya, Shyuichi; Takeuchi, Nobuko 40 2002 The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space and “flat” spacelike surfaces. Zbl 1292.53009 Izumiya, Shyuichi; Saji, Kentaro 39 2010 A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space. Zbl 1169.53308 Chen, Liang; Izumiya, Shyuichi 27 2009 Evolutes of hyperbolic plane curves. Zbl 1065.53022 Izumiya, Shyuichi; Pei, Dong He; Sano, Takashi; Torii, Erika 27 2004 Spacelike parallels and evolutes in Minkowski pseudo-spheres. Zbl 1121.53036 Izumiya, Shyuichi; Takahashi, Masatomo 26 2007 Special curves and ruled surfaces. Zbl 1035.53024 Izumiya, Shyuichi; Takeuchi, Nobuko 26 2003 The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space. Zbl 0970.53015 Izumiya, Shyuichi; Pei, Donghe; Sano, Takasi 25 2000 Singularities of ruled surfaces in \(\mathbb R^3\). Zbl 1098.58504 Izumiya, Shyuichi; Takeuchi, Nobuko 23 2001 Classification of generic integral diagrams and first order ordinary differential equations. Zbl 0877.58009 Hayakawa, A.; Ishikawa, G.; Izumiya, S.; Yamaguchi, K. 21 1994 The horospherical geometry of submanifolds in hyperbolic space. Zbl 1113.53011 Izumiya, S.; Pei, D.; Romero-Fuster, M. C.; Takahashi, M. 21 2005 The horospherical Gauss-Bonnet type theorem in hyperbolic space. Zbl 1111.53042 Izumiya, Shyuichi; Romero Fuster, María del Carmen 20 2006 The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space. Zbl 1141.53066 Izumiya, Shyuichi; Romero Fuster, María del Carmen 20 2007 Singularities of evolutes of hypersurfaces in hyperbolic space. Zbl 1074.53045 Izumiya, Shyuichi; Pei, Donghe; Takahashi, Masatomo 19 2004 Singularities of lightlike hypersurfaces in Minkowski four-space. Zbl 1111.53018 Izumiya, Shyuichi; Kossowski, Marek; Pei, Donghe; Romero Fuster, M. Carmen 18 2006 Flat surfaces along cuspidal edges. Zbl 1376.57034 Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko 18 2017 Flat approximations of surfaces along curves. Zbl 1330.57045 Izumiya, Shyuichi; Otani, Saki 18 2015 Self-adjoint operators on surfaces with singular metrics. Zbl 1203.53020 Izumiya, S.; Tari, F. 17 2010 The rectifying developable and the spherical Darboux image of a space curve. Zbl 0973.58023 Izumiya, Shyuichi; Katsumi, Haruyo; Yamasaki, Takako 17 1999 Generic singularities of implicit systems of first order differential equations on the plane. Zbl 1183.37089 Davydov, A. A.; Ishikawa, G.; Izumiya, S.; Sun, W.-Z. 17 2008 The lightcone Gauss map of a spacelike surface in Minkowski 4-space. Zbl 1084.53048 Izumiya, Shyuichi; Pei, Donghe; del Carmen Romero Fuster, María 16 2004 The Euler characteristic of a generic wavefront in a 3-manifold. Zbl 0785.58011 Izumiya, S.; Marar, W. L. 16 1993 Great circular surfaces in the three-sphere. Zbl 1218.53054 Izumiya, Shyuichi; Nagai, Takayuki; Saji, Kentaro 16 2011 Umbilicity of space-like submanifolds of Minkowski space. Zbl 1065.53049 Izumiya, Shyuichi; Pei, Donghe; Romero-Fuster, María del Carmen 15 2004 Circular surfaces. Zbl 1123.53005 Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko 14 2007 Lightlike surfaces of spacelike curves in de Sitter 3-space. Zbl 1136.53008 Fusho, Takesi; Izumiya, Shyuichi 14 2008 Time-like hypersurfaces in de Sitter space and Legendrian singularities. Zbl 1177.53066 Izumiya, Shyuichi 14 2007 Singular solutions of first-order differential equations. Zbl 0837.35008 Izumiya, S. 13 1994 Generic affine differential geometry of plane curves. Zbl 0965.53013 Izumiya, Shyuichi; Sano, Takasi 12 1998 Caustics and wave front propagations: applications to differential geometry. Zbl 1156.57025 Izumiya, Shyuichi; Takahashi, Masatomo 12 2008 The theory of Legendrian unfoldings and first-order differential equations. Zbl 0786.35033 Izumiya, Shyuichi 12 1993 Normal developable surfaces of surfaces along curves. Zbl 1420.57077 Hananoi, Satoshi; Izumiya, Shyuichi 12 2017 Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes. Zbl 1170.53011 Izumiya, Shyuichi; Tari, Farid 11 2008 Spherical Darboux images of curves on surfaces. Zbl 1327.53005 Hananoi, Satoshi; Ito, Noriaki; Izumiya, Shyuichi 11 2015 Evolutoids and pedaloids of plane curves. Zbl 1433.53005 Izumiya, Shyuichi; Takeuchi, Nobuko 11 2019 Differential geometry from the view point of Lagrangian or Legendrian singularity theory. Zbl 1144.53010 Izumiya, Shyuichi 10 2007 Lightlike hypersurfaces along spacelike submanifolds in Minkowski space-time. Zbl 1281.53023 Izumiya, Shyuichi; Sato, Takami 10 2013 The horospherical geometry of surfaces in hyperbolic 4-space. Zbl 1181.53045 Izumiya, Shyuichi; Pei, Donghe; Romero Fuster, María del Carmen 10 2006 Lightcone dualities for curves in the sphere. Zbl 1262.53015 Izumiya, Shyuichi; Jiang, Yang; Pei, Donghe 9 2013 On topologically stable singular surfaces in a 3-manifold. Zbl 0840.57010 Izumiya, Shyuichi; Marar, Washington L. 9 1995 Singularities of line congruences. Zbl 1053.53007 Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko 9 2003 Folding maps on spacelike and timelike surfaces and duality. Zbl 1201.53020 Izumiya, Shyuichi; Takahashi, Masatomo; Tari, Farid 9 2010 Holonomic systems of Clairaut type. Zbl 0832.35028 Izumiya, Shyuichi; Kurokawa, Yasuhiro 8 1995 Completely integrable holonomic systems of first-order differential equations. Zbl 0843.58067 Izumiya, Shyuichi 8 1995 Perestroikas of optical wave fronts and graphlike Legendrian unfoldings. Zbl 0781.57016 Izumiya, Shyūichi 8 1993 How to define singular solutions. Zbl 0794.34003 Izumiya, Shyuichi; Yu, Jianming 8 1993 Generic bifurcations of varieties. Zbl 0537.58009 Izumiya, Shyūichi 8 1984 Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space. Zbl 1235.53021 Izumiya, Shyuichi; Yıldırım, Handan 8 2012 Pseudo-spherical normal Darboux images of curves on a timelike surface in three dimensional Lorentz-Minkowski space. Zbl 1323.58028 Izumiya, Shyuichi; Nabarro, Ana Claudia; Sacramento, Andrea de Jesus 8 2015 Evolutes of curves in the Lorentz-Minkowski plane. Zbl 1428.53020 Izumiya, S.; Romero Fuster, M. C.; Takahashi, M. 8 2018 Total absolute horospherical curvature of submanifolds in hyperbolic space. Zbl 1201.53069 Buosi, Marcelo; Izumiya, Shyuichi; Ruas, Maria Aparecida Soares 8 2010 Generic affine differential geometry of space curves. Zbl 0916.53005 Izumiya, Shyuichi; Sano, Takasi 7 1998 Slant geometry of spacelike hypersurfaces in the lightcone. Zbl 1225.53020 Izumiya, Shyuichi; Yildirim, Handan 7 2011 On Clairaut-type equations. Zbl 0822.34003 Izumiya, Shyuichi 7 1994 Horospherical geometry in the hyperbolic space. Zbl 1181.53011 Izumiya, Shyuichi 7 2009 Lightlike developables in Minkowski 3-space. Zbl 1198.53010 Chino, Sachiko; Izumiya, Shyuichi 7 2010 Slant geometry of spacelike hypersurfaces in hyperbolic space and de Sitter space. Zbl 1247.53021 Asayama, Mikuri; Izumiya, Shyuichi; Tamaoki, Aiko; Yıldırım, Handan 7 2012 Geometry of special curves and surfaces in 3-space form. Zbl 1410.53022 Huang, Jie; Chen, Liang; Izumiya, Shyuichi; Pei, Donghe 7 2019 Evolutoids and pedaloids of Minkowski plane curves. Zbl 1472.53015 Aydın Şekerci, Gülşah; Izumiya, Shyuichi 7 2021 Notes on smooth function germs on varieties. Zbl 0594.58013 Izumiya, Shyūichi; Matsuoka, Sachiko 6 1986 Multivalued solutions to the eikonal equation in stratified media. Zbl 1027.35137 Izumiya, S.; Kossioris, G. T.; Makrakis, G. N. 6 2001 Geometric singularities for solutions of single conservation laws. Zbl 0907.35082 Izumiya, Shyuichi; Kossioris, Georgios T. 6 1997 Focal surfaces and evolutes of curves in hyperbolic space. Zbl 1364.53011 Hayashi, Ryota; Izumiya, Shyuichi; Sato, Takami 6 2017 Singularities of Anti de Sitter torus Gauss maps. Zbl 1193.53016 Chen, Liang; Izumiya, Shyuichi 6 2010 Curves and surfaces in hyperbolic space. Zbl 1063.53016 Izumiya, Shyuichi; Pei, Donghe; Takahashi, Masatomo 6 2004 On the horospherical ridges of submanifolds of codimension 2 in Hyperbolic \(n\)-space. Zbl 1086.53081 Izumiya, S.; Pei, D.; Romero-Fuster, M. C.; Takahashi, M. 6 2004 A time-like surface in Minkowski 3-space which contains light-like lines. Zbl 0916.53012 Izumiya, Shyuichi; Takiyama, Akihiro 5 1999 Horo-tight spheres in hyperbolic space. Zbl 1235.53012 Buosi, Marcelo; Izumiya, Shyuichi; Ruas, Maria Aparecida Soares 5 2011 Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space. Zbl 1188.53056 Izumiya, Shyuichi; del Carmen Romero Fuster, María; Saji, Kentaro 5 2009 Global properties of codimension two spacelike submanifolds in Minkowski space. Zbl 1187.53059 Izumiya, Shyuichi; Ballesteros, Juan José Nuño; del Carmen Romero Fuster, María 5 2010 A time-like surface in Minkowski 3-space which contains pseudocircles. Zbl 0876.53013 Izumiya, Shyuichi; Takiyama, Akihiro 5 1997 Lorentzian Darboux images of curves on spacelike surfaces in Lorentz-Minkowski 3-space. Zbl 1339.53015 Ito, Noriaki; Izumiya, Shyuichi 5 2016 Apparent contours in Minkowski 3-space and first order ordinary differential equations. Zbl 1268.53010 Izumiya, Shyuichi; Tari, Farid 4 2013 Lightcone dualities for curves in the lightcone unit 3-sphere. Zbl 1284.53022 Izumiya, Shyuichi; Jiang, Yang; Sato, Takami 4 2013 Pedal foliations and Gauss maps of hypersurfaces in Euclidean space. Zbl 1292.57025 Izumiya, Shyuichi; Takahashi, Masatomo 4 2012 Horospherical and hyperbolic dual surfaces of spacelike curves in de Sitter space. Zbl 1377.53016 Izumiya, Shyuichi; Nabarro, Ana Claudia; de Jesus Sacramento, Andrea 4 2017 Semi-local classification of geometric singularities for Hamilton-Jacobi equations. Zbl 0837.35091 Izumiya, Shyuichi; Kossioris, Georgios T. 4 1995 A characterization of complete integrability for partial differential equations of first order. Zbl 0822.35025 Izumiya, Shyuichi 4 1994 On caustics of submanifolds and canal hypersurfaces in Euclidean space. Zbl 1245.57034 Izumiya, Shyuichi; Takahashi, Masatomo 4 2012 Caustics of world hyper-sheets in the Minkowski space-time. Zbl 1364.58018 Izumiya, Shyuichi 4 2016 The lightlike geometry of marginally trapped surfaces in Minkowski space-time. Zbl 1319.53012 Honda, Atsufumi; Izumiya, Shyuichi 4 2015 Spacelike surfaces in anti de Sitter four-space from a contact viewpoint. Zbl 1201.53063 Izumiya, Shyuichi; Pei, Donghe; Del Carmen Romero Fuster, María 4 2009 Developable surfaces along frontal curves on embedded surfaces. Zbl 1423.57049 Honda, Shun’ichi; Izumiya, Shyuichi; Takahashi, Masatomo 4 2019 Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space. Zbl 1291.53068 Izumiya, Shyuichi 3 2014 Generic properties of first order partial differential equations. Zbl 1038.58500 Izumiya, S. 3 1992 Systems of Clairaut type. Zbl 0821.35025 Izumiya, Shyuichi 3 1994 Geometric singularities for Hamilton-Jacobi equation. Zbl 0837.35090 Izumiya, Shyūichi 3 1993 Projections of timelike surfaces in the de Sitter space. Zbl 1227.53012 Izumiya, Shyuichi; Tari, Farid 3 2010 Geometric equivalence among smooth map germs. Zbl 1442.58023 Izumiya, Shyuichi; Takahashi, Masatomo; Teramoto, Hiroshi 3 2018 Stability of G-unfoldings. Zbl 0434.58012 Izumiya, Shyuichi 2 1980 Global properties of space-like curves in Minkowski 3-space. Zbl 1110.53014 Izumiya, Shyuichi; Kikuchi, Makoto; Takahashi, Masatomo 2 2006 Anti de Sitter horospherical flat timelike surfaces. Zbl 1305.53022 Chen, Liang; Izumiya, Shyuichi; Pei, Donghe; Saji, Kentaro 2 2014 Timelike hypersurfaces in anti-de Sitter space from a contact viewpoint. Zbl 1309.53018 Chen, L.; Izumiya, S.; Pei, D. 2 2014 Lightlike hypersurfaces along spacelike submanifolds in de Sitter space. Zbl 1310.53050 Izumiya, Shyuichi; Sato, Takami 2 2014 The theory of graph-like Legendrian unfoldings and its applications. Zbl 1314.58022 Izumiya, Shyuichi 2 2015 Lightlike flat geometry of spacelike submanifolds in Lorentz-Minkowski space. Zbl 1296.53115 Izumiya, Shyuichi; Kasedou, Masaki 2 2014 Evolutoids and pedaloids of Minkowski plane curves. Zbl 1472.53015 Aydın Şekerci, Gülşah; Izumiya, Shyuichi 7 2021 Curves in a spacelike hypersurface in Minkowski space-time. Zbl 1485.58027 Izumiya, Shyuichi; Nabarro, Ana Claudia; Sacramento, Andrea de Jesus 1 2021 Geometry of lightlike locus on mixed type surfaces in Lorentz-Minkowski 3-space from a contact viewpoint. Zbl 1483.53034 Honda, Atsufumi; Izumiya, Shyuichi; Saji, Kentaro; Teramoto, Keisuke 1 2021 Primitivoids and inversions of plane curves. Zbl 1459.53005 Izumiya, Shyuichi; Takeuchi, Nobuko 2 2020 Extrinsic flat surfaces along a curve on a surface in the unit three-sphere. Zbl 1453.53008 Jiang, Yang; Izumiya, Shyuichi 1 2020 Horo-flat surfaces along cuspidal edges in the hyperbolic space. Zbl 1452.53007 Izumiya, Shyuichi; Romero-Fuster, Maria Carmen; Saji, Kentaro; Takahashi, Masatomo 1 2020 Evolutoids and pedaloids of plane curves. Zbl 1433.53005 Izumiya, Shyuichi; Takeuchi, Nobuko 11 2019 Geometry of special curves and surfaces in 3-space form. Zbl 1410.53022 Huang, Jie; Chen, Liang; Izumiya, Shyuichi; Pei, Donghe 7 2019 Developable surfaces along frontal curves on embedded surfaces. Zbl 1423.57049 Honda, Shun’ichi; Izumiya, Shyuichi; Takahashi, Masatomo 4 2019 Evolutes of curves in the Lorentz-Minkowski plane. Zbl 1428.53020 Izumiya, S.; Romero Fuster, M. C.; Takahashi, M. 8 2018 Geometric equivalence among smooth map germs. Zbl 1442.58023 Izumiya, Shyuichi; Takahashi, Masatomo; Teramoto, Hiroshi 3 2018 The theory of graph-like Legendrian unfoldings: equivalence relations. Zbl 1475.58028 Izumiya, Shyuichi 2 2018 Caustics and Maxwell sets of world sheets in anti-de Sitter space. Zbl 07430941 Izumiya, Shyuichi 1 2018 Flat surfaces along cuspidal edges. Zbl 1376.57034 Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko 18 2017 Normal developable surfaces of surfaces along curves. Zbl 1420.57077 Hananoi, Satoshi; Izumiya, Shyuichi 12 2017 Focal surfaces and evolutes of curves in hyperbolic space. Zbl 1364.53011 Hayashi, Ryota; Izumiya, Shyuichi; Sato, Takami 6 2017 Horospherical and hyperbolic dual surfaces of spacelike curves in de Sitter space. Zbl 1377.53016 Izumiya, Shyuichi; Nabarro, Ana Claudia; de Jesus Sacramento, Andrea 4 2017 Classification of Hamiltonians in neighborhoods of band crossings in terms of the theory of singularities. Zbl 1370.82042 Teramoto, Hiroshi; Kondo, Kenji; Izumiya, Shyūichi; Toda, Mikito; Komatsuzaki, Tamiki 2 2017 Generalized Sabban curves in the Euclidean \(n\)-sphere and spherical duality. Zbl 1375.53011 Izumiya, Shyuichi; Nagai, Takayuki 2 2017 Differential geometry from a singularity theory viewpoint. Zbl 1369.53004 Izumiya, Shyuichi; Romero Fuster, Maria del Carmen; Ruas, Maria Aparecida Soares; Tari, Farid 71 2016 Lorentzian Darboux images of curves on spacelike surfaces in Lorentz-Minkowski 3-space. Zbl 1339.53015 Ito, Noriaki; Izumiya, Shyuichi 5 2016 Caustics of world hyper-sheets in the Minkowski space-time. Zbl 1364.58018 Izumiya, Shyuichi 4 2016 Geometry of world sheets in Lorentz-Minkowski space. Zbl 1373.53023 Izumiya, Shyuichi 2 2016 Geometric interpretation of Lagrangian equivalence. Zbl 1376.58015 Izumiya, Shyuichi 1 2016 Flat approximations of surfaces along curves. Zbl 1330.57045 Izumiya, Shyuichi; Otani, Saki 18 2015 Spherical Darboux images of curves on surfaces. Zbl 1327.53005 Hananoi, Satoshi; Ito, Noriaki; Izumiya, Shyuichi 11 2015 Pseudo-spherical normal Darboux images of curves on a timelike surface in three dimensional Lorentz-Minkowski space. Zbl 1323.58028 Izumiya, Shyuichi; Nabarro, Ana Claudia; Sacramento, Andrea de Jesus 8 2015 The lightlike geometry of marginally trapped surfaces in Minkowski space-time. Zbl 1319.53012 Honda, Atsufumi; Izumiya, Shyuichi 4 2015 The theory of graph-like Legendrian unfoldings and its applications. Zbl 1314.58022 Izumiya, Shyuichi 2 2015 Slant geometry on spacelike submanifolds of codimension two in Lorentz-Minkowski space. Zbl 1330.53024 Izumiya, Shyuichi; Yıldırım, Handan 2 2015 Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space. Zbl 1331.83013 Izumiya, Shyuichi 2 2015 Envelopes of slant lines in the hyperbolic plane. Zbl 1351.53043 Ashino, Takashi; Ichiwara, Hisayoshi; Izumiya, Shyuichi 1 2015 Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space. Zbl 1291.53068 Izumiya, Shyuichi 3 2014 Anti de Sitter horospherical flat timelike surfaces. Zbl 1305.53022 Chen, Liang; Izumiya, Shyuichi; Pei, Donghe; Saji, Kentaro 2 2014 Timelike hypersurfaces in anti-de Sitter space from a contact viewpoint. Zbl 1309.53018 Chen, L.; Izumiya, S.; Pei, D. 2 2014 Lightlike hypersurfaces along spacelike submanifolds in de Sitter space. Zbl 1310.53050 Izumiya, Shyuichi; Sato, Takami 2 2014 Lightlike flat geometry of spacelike submanifolds in Lorentz-Minkowski space. Zbl 1296.53115 Izumiya, Shyuichi; Kasedou, Masaki 2 2014 Lightlike hypersurfaces along spacelike submanifolds in Minkowski space-time. Zbl 1281.53023 Izumiya, Shyuichi; Sato, Takami 10 2013 Lightcone dualities for curves in the sphere. Zbl 1262.53015 Izumiya, Shyuichi; Jiang, Yang; Pei, Donghe 9 2013 Apparent contours in Minkowski 3-space and first order ordinary differential equations. Zbl 1268.53010 Izumiya, Shyuichi; Tari, Farid 4 2013 Lightcone dualities for curves in the lightcone unit 3-sphere. Zbl 1284.53022 Izumiya, Shyuichi; Jiang, Yang; Sato, Takami 4 2013 Duals of curves in hyperbolic space. Zbl 1291.53014 Hayashi, Ryota; Izumiya, Shyuichi; Sato, Takami 1 2013 Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space. Zbl 1235.53021 Izumiya, Shyuichi; Yıldırım, Handan 8 2012 Slant geometry of spacelike hypersurfaces in hyperbolic space and de Sitter space. Zbl 1247.53021 Asayama, Mikuri; Izumiya, Shyuichi; Tamaoki, Aiko; Yıldırım, Handan 7 2012 Pedal foliations and Gauss maps of hypersurfaces in Euclidean space. Zbl 1292.57025 Izumiya, Shyuichi; Takahashi, Masatomo 4 2012 On caustics of submanifolds and canal hypersurfaces in Euclidean space. Zbl 1245.57034 Izumiya, Shyuichi; Takahashi, Masatomo 4 2012 Great circular surfaces in the three-sphere. Zbl 1218.53054 Izumiya, Shyuichi; Nagai, Takayuki; Saji, Kentaro 16 2011 Slant geometry of spacelike hypersurfaces in the lightcone. Zbl 1225.53020 Izumiya, Shyuichi; Yildirim, Handan 7 2011 Horo-tight spheres in hyperbolic space. Zbl 1235.53012 Buosi, Marcelo; Izumiya, Shyuichi; Ruas, Maria Aparecida Soares 5 2011 Horospherical flat surfaces in hyperbolic 3-space. Zbl 1205.53065 Izumiya, Shyuichi; Saji, Kentaro; Takahashi, Masatomo 43 2010 The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space and “flat” spacelike surfaces. Zbl 1292.53009 Izumiya, Shyuichi; Saji, Kentaro 39 2010 Self-adjoint operators on surfaces with singular metrics. Zbl 1203.53020 Izumiya, S.; Tari, F. 17 2010 Folding maps on spacelike and timelike surfaces and duality. Zbl 1201.53020 Izumiya, Shyuichi; Takahashi, Masatomo; Tari, Farid 9 2010 Total absolute horospherical curvature of submanifolds in hyperbolic space. Zbl 1201.53069 Buosi, Marcelo; Izumiya, Shyuichi; Ruas, Maria Aparecida Soares 8 2010 Lightlike developables in Minkowski 3-space. Zbl 1198.53010 Chino, Sachiko; Izumiya, Shyuichi 7 2010 Singularities of Anti de Sitter torus Gauss maps. Zbl 1193.53016 Chen, Liang; Izumiya, Shyuichi 6 2010 Global properties of codimension two spacelike submanifolds in Minkowski space. Zbl 1187.53059 Izumiya, Shyuichi; Ballesteros, Juan José Nuño; del Carmen Romero Fuster, María 5 2010 Projections of timelike surfaces in the de Sitter space. Zbl 1227.53012 Izumiya, Shyuichi; Tari, Farid 3 2010 Projections of surfaces in the hyperbolic space along horocycles. Zbl 1193.53129 Izumiya, Shyuichi; Tari, Farid 1 2010 Legendrian dualities and spacelike hypersurfaces in the lightcone. Zbl 1188.53055 Izumiya, Shyuichi 49 2009 A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space. Zbl 1169.53308 Chen, Liang; Izumiya, Shyuichi 27 2009 Horospherical geometry in the hyperbolic space. Zbl 1181.53011 Izumiya, Shyuichi 7 2009 Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space. Zbl 1188.53056 Izumiya, Shyuichi; del Carmen Romero Fuster, María; Saji, Kentaro 5 2009 Spacelike surfaces in anti de Sitter four-space from a contact viewpoint. Zbl 1201.53063 Izumiya, Shyuichi; Pei, Donghe; Del Carmen Romero Fuster, María 4 2009 Generic singularities of implicit systems of first order differential equations on the plane. Zbl 1183.37089 Davydov, A. A.; Ishikawa, G.; Izumiya, S.; Sun, W.-Z. 17 2008 Lightlike surfaces of spacelike curves in de Sitter 3-space. Zbl 1136.53008 Fusho, Takesi; Izumiya, Shyuichi 14 2008 Caustics and wave front propagations: applications to differential geometry. Zbl 1156.57025 Izumiya, Shyuichi; Takahashi, Masatomo 12 2008 Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes. Zbl 1170.53011 Izumiya, Shyuichi; Tari, Farid 11 2008 Spacelike parallels and evolutes in Minkowski pseudo-spheres. Zbl 1121.53036 Izumiya, Shyuichi; Takahashi, Masatomo 26 2007 The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space. Zbl 1141.53066 Izumiya, Shyuichi; Romero Fuster, María del Carmen 20 2007 Circular surfaces. Zbl 1123.53005 Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko 14 2007 Time-like hypersurfaces in de Sitter space and Legendrian singularities. Zbl 1177.53066 Izumiya, Shyuichi 14 2007 Differential geometry from the view point of Lagrangian or Legendrian singularity theory. Zbl 1144.53010 Izumiya, Shyuichi 10 2007 The horospherical Gauss-Bonnet type theorem in hyperbolic space. Zbl 1111.53042 Izumiya, Shyuichi; Romero Fuster, María del Carmen 20 2006 Singularities of lightlike hypersurfaces in Minkowski four-space. Zbl 1111.53018 Izumiya, Shyuichi; Kossowski, Marek; Pei, Donghe; Romero Fuster, M. Carmen 18 2006 The horospherical geometry of surfaces in hyperbolic 4-space. Zbl 1181.53045 Izumiya, Shyuichi; Pei, Donghe; Romero Fuster, María del Carmen 10 2006 Global properties of space-like curves in Minkowski 3-space. Zbl 1110.53014 Izumiya, Shyuichi; Kikuchi, Makoto; Takahashi, Masatomo 2 2006 The horospherical geometry of submanifolds in hyperbolic space. Zbl 1113.53011 Izumiya, S.; Pei, D.; Romero-Fuster, M. C.; Takahashi, M. 21 2005 New special curves and developable surfaces. Zbl 1081.53003 Izumiya, Shyuichi; Takeuchi, Nobuko 138 2004 Evolutes of hyperbolic plane curves. Zbl 1065.53022 Izumiya, Shyuichi; Pei, Dong He; Sano, Takashi; Torii, Erika 27 2004 Singularities of evolutes of hypersurfaces in hyperbolic space. Zbl 1074.53045 Izumiya, Shyuichi; Pei, Donghe; Takahashi, Masatomo 19 2004 The lightcone Gauss map of a spacelike surface in Minkowski 4-space. Zbl 1084.53048 Izumiya, Shyuichi; Pei, Donghe; del Carmen Romero Fuster, María 16 2004 Umbilicity of space-like submanifolds of Minkowski space. Zbl 1065.53049 Izumiya, Shyuichi; Pei, Donghe; Romero-Fuster, María del Carmen 15 2004 Curves and surfaces in hyperbolic space. Zbl 1063.53016 Izumiya, Shyuichi; Pei, Donghe; Takahashi, Masatomo 6 2004 On the horospherical ridges of submanifolds of codimension 2 in Hyperbolic \(n\)-space. Zbl 1086.53081 Izumiya, S.; Pei, D.; Romero-Fuster, M. C.; Takahashi, M. 6 2004 Singularities of hyperbolic Gauss maps. Zbl 1041.58017 Izumiya, Shyuichi; Pei, Donghe; Sano, Takasi 51 2003 Special curves and ruled surfaces. Zbl 1035.53024 Izumiya, Shyuichi; Takeuchi, Nobuko 26 2003 Singularities of line congruences. Zbl 1053.53007 Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko 9 2003 Generic properties of helices and Bertrand curves. Zbl 1031.53007 Izumiya, Shyuichi; Takeuchi, Nobuko 40 2002 Singularities of ruled surfaces in \(\mathbb R^3\). Zbl 1098.58504 Izumiya, Shyuichi; Takeuchi, Nobuko 23 2001 Multivalued solutions to the eikonal equation in stratified media. Zbl 1027.35137 Izumiya, S.; Kossioris, G. T.; Makrakis, G. N. 6 2001 The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space. Zbl 0970.53015 Izumiya, Shyuichi; Pei, Donghe; Sano, Takasi 25 2000 The rectifying developable and the spherical Darboux image of a space curve. Zbl 0973.58023 Izumiya, Shyuichi; Katsumi, Haruyo; Yamasaki, Takako 17 1999 A time-like surface in Minkowski 3-space which contains light-like lines. Zbl 0916.53012 Izumiya, Shyuichi; Takiyama, Akihiro 5 1999 Generic affine differential geometry of plane curves. Zbl 0965.53013 Izumiya, Shyuichi; Sano, Takasi 12 1998 Generic affine differential geometry of space curves. Zbl 0916.53005 Izumiya, Shyuichi; Sano, Takasi 7 1998 Characteristic vector fields for first order partial differential equations. Zbl 0942.35042 Izumiya, Shyuichi 1 1998 Real analytic and algebraic singularities. Zbl 0882.00014 1 1998 Geometric singularities for solutions of single conservation laws. Zbl 0907.35082 Izumiya, Shyuichi; Kossioris, Georgios T. 6 1997 A time-like surface in Minkowski 3-space which contains pseudocircles. Zbl 0876.53013 Izumiya, Shyuichi; Takiyama, Akihiro 5 1997 ...and 34 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 574 Authors 66 Izumiya, Shyuichi 35 Pei, Donghe 32 Takahashi, Masatomo 31 Saji, Kentaro 21 Yayli, Yusuf 19 Tari, Farid 16 Gök, İsmail 15 Teramoto, Keisuke 14 Chen, Liang 14 Wang, Zhigang 13 Romero-Fuster, María Carmen 12 Umehara, Masaaki 9 Oset Sinha, Raúl 9 Wang, Yongqiao 8 Abdel-Baky, Rashad A. 8 Li, Yanlin 8 Liu, Haiming 8 Öztürk, Ufuk 8 Yamada, Kotaro 7 Honda, Atsufumi 7 İlarslan, Kazim 7 Kong, LingLing 7 Nishimura, Takashi 7 Önder, Mehmet 7 Soares Ruas, Maria Aparecida 7 Uçum, Ali 7 Yilmaz, Beyhan 6 Bektaş, Mehmet 6 Garcia, Ronaldo A. 6 Ishikawa, Goo 6 Lucas, Pascual 6 Nabarro, Ana Claudia 6 Nešović, Emilija 6 Ortega-Yagües, José Antonio 6 Yildirim, Handan 5 Camci, Çetin 5 Deolindo-Silva, Jorge Luiz 5 Fukunaga, Tomonori 5 Sánchez-Bringas, Federico 5 Sato, Takami 5 Ünlütürk, Yasin 4 Alghanemi, Azeb 4 Benamou, Jean-David 4 Benedini Riul, Pedro 4 Călin, Constantin 4 Craizer, Marcos 4 Crâşmăreanu, Mircea 4 Has, Aykut 4 Honda, Shun’ichi 4 Jiang, Yang 4 Kasedou, Masaki 4 Kiziltug, Sezai 4 Korpinar, Talat 4 Kossowski, Marek 4 Li, Enze 4 Pal, Buddhadev 4 Pérez-Díaz, Sonia 4 Remizov, Alexey O. 4 Sun, Jianguo 4 Teramoto, Hiroshi 4 Yıldırım Yılmaz, Münevver 3 Altunkaya, Bülent 3 Aydin, Muhittin Evren 3 Brander, David 3 Chang, Yuan 3 Chen, Bang-Yen 3 da Silva, Luiz Carlos Barbosa 3 Dai, Limei 3 Davydov, Alekseĭ Aleksandrovich 3 Deshmukh, Sharief 3 do Couto Fernandes, Marco Antônio 3 Ergut, Mahmut 3 Gosse, Laurent 3 Hacísalihoğlu, Hasan Hilmi 3 Hasegawa, Masaru 3 Karakuş, Siddika Özkaldi 3 Karlıga, Baki 3 Kula, Levent 3 Külahci, Mihriban Alyamaç 3 Kumar, Santosh 3 Liu, Siyao 3 Martins, Luciana F. 3 Martins, Rodrigo 3 Miao, Jiajing 3 Navarro, Matías 3 Nowik, Tahl 3 Nuño-Ballesteros, Juan José 3 Ozdemir, Mustafa Kemal 3 Ozturk, Esra Betul Koc 3 Palmas, Oscar 3 Pember, Mason 3 Raffaelli, Matteo 3 Shen, Liyong 3 Şimşek, Hakan 3 Solis, Didier A. 3 Sun, Weizhi 3 Takeuchi, Nobuko 3 Tosun, Murat 3 Turhan, Essin 3 Yadav, Akhilesh Chandra ...and 474 more Authors all top 5 Cited in 191 Serials 22 Journal of Geometry and Physics 20 Journal of Geometry 19 International Journal of Geometric Methods in Modern Physics 18 Differential Geometry and its Applications 18 Journal of Singularities 15 Topology and its Applications 15 Turkish Journal of Mathematics 14 Mathematical Methods in the Applied Sciences 13 Mediterranean Journal of Mathematics 11 Journal of Mathematical Analysis and Applications 10 Applied Mathematics and Computation 10 Tôhoku Mathematical Journal. Second Series 10 International Electronic Journal of Geometry 9 Geometriae Dedicata 9 AIMS Mathematics 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 Bulletin of the Brazilian Mathematical Society. New Series 8 Boletim da Sociedade Paranaense de Matemática. Terceira Série 7 Journal of the Mathematical Society of Japan 6 Journal of Mathematical Physics 6 Kodai Mathematical Journal 6 Osaka Journal of Mathematics 6 Proceedings of the American Mathematical Society 6 Results in Mathematics 6 Advances in Applied Clifford Algebras 6 Filomat 6 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 6 Advances in Geometry 5 Beiträge zur Algebra und Geometrie 5 Mathematische Nachrichten 5 The Journal of Geometric Analysis 5 Journal of Mathematical Sciences (New York) 5 Honam Mathematical Journal 5 Journal of Dynamical and Control Systems 5 Journal of Dynamical Systems and Geometric Theories 5 Advances in Mathematical Physics 5 Research in the Mathematical Sciences 4 Journal of Computational Physics 4 Journal of Differential Equations 4 Manuscripta Mathematica 4 Abstract and Applied Analysis 4 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 4 Hacettepe Journal of Mathematics and Statistics 4 Asian-European Journal of Mathematics 4 Symmetry 3 Advances in Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the Japan Academy. Series A 3 Transactions of the American Mathematical Society 3 International Journal of Mathematics 3 Acta Mathematica Sinica. English Series 3 Lobachevskii Journal of Mathematics 3 Iranian Journal of Science and Technology. Transaction A: Science 3 The Australian Journal of Mathematical Analysis and Applications 3 Proceedings of the Steklov Institute of Mathematics 3 Acta Universitatis Sapientiae. Mathematica 3 Science China. Mathematics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Open Mathematics 3 Korean Journal of Mathematics 3 Advanced Studies: Euro-Tbilisi Mathematical Journal 2 International Journal of Modern Physics A 2 Archive for Rational Mechanics and Analysis 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Ukrainian Mathematical Journal 2 Annales Polonici Mathematici 2 Czechoslovak Mathematical Journal 2 Demonstratio Mathematica 2 Hokkaido Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Kyungpook Mathematical Journal 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Tamkang Journal of Mathematics 2 Advances in Applied Mathematics 2 Note di Matematica 2 Annals of Global Analysis and Geometry 2 Computer Aided Geometric Design 2 Facta Universitatis. Series Mathematics and Informatics 2 Science in China. Series A 2 Communications in Partial Differential Equations 2 Journal of Dynamics and Differential Equations 2 Journal of Knot Theory and its Ramifications 2 Journal of the Egyptian Mathematical Society 2 Mathematical Problems in Engineering 2 Acta et Commentationes Universitatis Tartuensis de Mathematica 2 Journal of Systems Science and Complexity 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Applications and Applied Mathematics 2 Journal of Nonlinear Science and Applications 2 São Paulo Journal of Mathematical Sciences 2 Journal of Function Spaces 2 Applied Mathematics and Nonlinear Sciences 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics ...and 91 more Serials all top 5 Cited in 39 Fields 468 Differential geometry (53-XX) 174 Global analysis, analysis on manifolds (58-XX) 125 Manifolds and cell complexes (57-XX) 43 Partial differential equations (35-XX) 36 Ordinary differential equations (34-XX) 29 Dynamical systems and ergodic theory (37-XX) 28 Algebraic geometry (14-XX) 22 Numerical analysis (65-XX) 17 Several complex variables and analytic spaces (32-XX) 17 Geometry (51-XX) 12 Optics, electromagnetic theory (78-XX) 12 Relativity and gravitational theory (83-XX) 8 Topological groups, Lie groups (22-XX) 7 Convex and discrete geometry (52-XX) 7 Computer science (68-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Commutative algebra (13-XX) 5 Real functions (26-XX) 5 Mechanics of particles and systems (70-XX) 4 Field theory and polynomials (12-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Quantum theory (81-XX) 3 Algebraic topology (55-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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