Edit Profile (opens in new tab) Izumiya, Shyuichi Compute Distance To: Compute 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 · Google Scholar · ResearchGate · Math-Net.Ru · GND Documents Indexed: 162 Publications since 1979, including 1 Book 6 Contributions as Editor Reviewing Activity: 58 Reviews Biographic References: 1 Publication Co-Authors: 78 Co-Authors with 122 Joint Publications 1,019 Co-Co-Authors all top 5 Co-Authors 46 single-authored 17 Pei, Donghe 17 Takahashi, Masatomo 11 Saji, Kentaro 10 Romero Fuster, Maria del Carmen 9 Takeuchi, Nobuko 8 Ishikawa, Goo 7 Tari, Farid 6 Kossioris, Georgios T. 6 Romero-Fuster, María Carmen 6 Sano, Takasi 5 Chen, Liang 5 Jiang, Yang 5 Sato, Takami 4 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 Hananoi, Satoshi 2 Hayashi, Ryota 2 Honda, Atsufumi 2 Ito, Noriaki 2 Komatsuzaki, Tamiki 2 Kurokawa, Yasuhiro 2 Nagai, Takayuki 2 Takiyama, Akihiro 2 Yu, Jianming 1 Asayama, Mikuri 1 Ashino, Takashi 1 Chino, Sachiko 1 Davydov, Alekseĭ Aleksandrovich 1 Domitrz, Wojciech 1 Fukuda, Toshisumi 1 Fukui, Toshizumi 1 Fusho, Takesi 1 Giblin, Peter J. 1 Hayakawa, Akihiro 1 Honda, Shun’ichi 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 Nakai, Isao 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 Teramoto, Keisuke 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 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 Kobe Journal of Mathematics 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 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 all top 5 Fields 96 Global analysis, analysis on manifolds (58-XX) 95 Differential geometry (53-XX) 38 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 125 Publications have been cited 1,076 times in 453 Documents Cited by ▼ Year ▼ New special curves and developable surfaces. Zbl 1081.53003Izumiya, Shyuichi; Takeuchi, Nobuko 101 2004 Singularities of hyperbolic Gauss maps. Zbl 1041.58017Izumiya, Shyuichi; Pei, Donghe; Sano, Takasi 46 2003 Differential geometry from a singularity theory viewpoint. Zbl 1369.53004Izumiya, Shyuichi; Romero Fuster, Maria del Carmen; Ruas, Maria Aparecida Soares; Tari, Farid 42 2016 Horospherical flat surfaces in hyperbolic 3-space. Zbl 1205.53065Izumiya, Shyuichi; Saji, Kentaro; Takahashi, Masatomo 39 2010 The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space and “flat” spacelike surfaces. Zbl 1292.53009Izumiya, Shyuichi; Saji, Kentaro 34 2010 Legendrian dualities and spacelike hypersurfaces in the lightcone. Zbl 1188.53055Izumiya, Shyuichi 32 2009 Generic properties of helices and Bertrand curves. Zbl 1031.53007Izumiya, Shyuichi; Takeuchi, Nobuko 28 2002 Evolutes of hyperbolic plane curves. Zbl 1065.53022Izumiya, Shyuichi; Pei, Dong He; Sano, Takashi; Torii, Erika 24 2004 Spacelike parallels and evolutes in Minkowski pseudo-spheres. Zbl 1121.53036Izumiya, Shyuichi; Takahashi, Masatomo 22 2007 The lightcone Gauss map and the lightcone developable of a spacelike curve in Minkowski 3-space. Zbl 0970.53015Izumiya, Shyuichi; Pei, Donghe; Sano, Takasi 21 2000 Classification of generic integral diagrams and first order ordinary differential equations. Zbl 0877.58009Hayakawa, A.; Ishikawa, G.; Izumiya, S.; Yamaguchi, K. 20 1994 The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space. Zbl 1141.53066Izumiya, Shyuichi; Romero Fuster, María del Carmen 19 2007 The horospherical geometry of submanifolds in hyperbolic space. Zbl 1113.53011Izumiya, S.; Pei, D.; Romero-Fuster, M. C.; Takahashi, M. 18 2005 The horospherical Gauss-Bonnet type theorem in hyperbolic space. Zbl 1111.53042Izumiya, Shyuichi; Romero Fuster, María del Carmen 18 2006 Special curves and ruled surfaces. Zbl 1035.53024Izumiya, Shyuichi; Takeuchi, Nobuko 18 2003 Singularities of lightlike hypersurfaces in Minkowski four-space. Zbl 1111.53018Izumiya, Shyuichi; Kossowski, Marek; Pei, Donghe; Romero Fuster, M. Carmen 17 2006 Singularities of evolutes of hypersurfaces in hyperbolic space. Zbl 1074.53045Izumiya, Shyuichi; Pei, Donghe; Takahashi, Masatomo 17 2004 A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space. Zbl 1169.53308Chen, Liang; Izumiya, Shyuichi 16 2009 Singularities of ruled surfaces in \(\mathbb R^3\). Zbl 1098.58504Izumiya, Shyuichi; Takeuchi, Nobuko 15 2001 Flat approximations of surfaces along curves. Zbl 1330.57045Izumiya, Shyuichi; Otani, Saki 15 2015 The lightcone Gauss map of a spacelike surface in Minkowski 4-space. Zbl 1084.53048Izumiya, Shyuichi; Pei, Donghe; del Carmen Romero Fuster, María 15 2004 Umbilicity of space-like submanifolds of Minkowski space. Zbl 1065.53049Izumiya, Shyuichi; Pei, Donghe; Romero-Fuster, María del Carmen 15 2004 Generic singularities of implicit systems of first order differential equations on the plane. Zbl 1183.37089Davydov, A. A.; Ishikawa, G.; Izumiya, S.; Sun, W.-Z. 14 2008 The Euler characteristic of a generic wavefront in a 3-manifold. Zbl 0785.58011Izumiya, S.; Marar, W. L. 14 1993 The rectifying developable and the spherical Darboux image of a space curve. Zbl 0973.58023Izumiya, Shyuichi; Katsumi, Haruyo; Yamasaki, Takako 14 1999 Flat surfaces along cuspidal edges. Zbl 1376.57034Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko 13 2017 Self-adjoint operators on surfaces with singular metrics. Zbl 1203.53020Izumiya, S.; Tari, F. 12 2010 Lightlike surfaces of spacelike curves in de Sitter 3-space. Zbl 1136.53008Fusho, Takesi; Izumiya, Shyuichi 12 2008 Caustics and wave front propagations: applications to differential geometry. Zbl 1156.57025Izumiya, Shyuichi; Takahashi, Masatomo 12 2008 The theory of Legendrian unfoldings and first-order differential equations. Zbl 0786.35033Izumiya, Shyuichi 12 1993 Singular solutions of first-order differential equations. Zbl 0837.35008Izumiya, S. 12 1994 Time-like hypersurfaces in de Sitter space and Legendrian singularities. Zbl 1177.53066Izumiya, Shyuichi 11 2007 Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes. Zbl 1170.53011Izumiya, Shyuichi; Tari, Farid 10 2008 The horospherical geometry of surfaces in hyperbolic 4-space. Zbl 1181.53045Izumiya, Shyuichi; Pei, Donghe; Romero Fuster, María del Carmen 10 2006 Great circular surfaces in the three-sphere. Zbl 1218.53054Izumiya, Shyuichi; Nagai, Takayuki; Saji, Kentaro 9 2011 Generic bifurcations of varieties. Zbl 0537.58009Izumiya, Shyūichi 8 1984 Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space. Zbl 1235.53021Izumiya, Shyuichi; Yıldırım, Handan 8 2012 Circular surfaces. Zbl 1123.53005Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko 8 2007 Perestroikas of optical wave fronts and graphlike Legendrian unfoldings. Zbl 0781.57016Izumiya, Shyūichi 8 1993 Completely integrable holonomic systems of first-order differential equations. Zbl 0843.58067Izumiya, Shyuichi 8 1995 How to define singular solutions. Zbl 0794.34003Izumiya, Shyuichi; Yu, Jianming 8 1993 On topologically stable singular surfaces in a 3-manifold. Zbl 0840.57010Izumiya, Shyuichi; Marar, Washington L. 8 1995 Generic affine differential geometry of plane curves. Zbl 0965.53013Izumiya, Shyuichi; Sano, Takasi 8 1998 Holonomic systems of Clairaut type. Zbl 0832.35028Izumiya, Shyuichi; Kurokawa, Yasuhiro 8 1995 Slant geometry of spacelike hypersurfaces in the lightcone. Zbl 1225.53020Izumiya, Shyuichi; Yildirim, Handan 7 2011 Slant geometry of spacelike hypersurfaces in hyperbolic space and de Sitter space. Zbl 1247.53021Asayama, Mikuri; Izumiya, Shyuichi; Tamaoki, Aiko; Yıldırım, Handan 7 2012 Differential geometry from the view point of Lagrangian or Legendrian singularity theory. Zbl 1144.53010Izumiya, Shyuichi 7 2007 Total absolute horospherical curvature of submanifolds in hyperbolic space. Zbl 1201.53069Buosi, Marcelo; Izumiya, Shyuichi; Ruas, Maria Aparecida Soares 7 2010 On Clairaut-type equations. Zbl 0822.34003Izumiya, Shyuichi 7 1994 Lightlike hypersurfaces along spacelike submanifolds in Minkowski space-time. Zbl 1281.53023Izumiya, Shyuichi; Sato, Takami 7 2013 Evolutoids and pedaloids of plane curves. Zbl 1433.53005Izumiya, Shyuichi; Takeuchi, Nobuko 7 2019 Spherical Darboux images of curves on surfaces. Zbl 1327.53005Hananoi, Satoshi; Ito, Noriaki; Izumiya, Shyuichi 6 2015 Singularities of Anti de Sitter torus Gauss maps. Zbl 1193.53016Chen, Liang; Izumiya, Shyuichi 6 2010 Lightlike developables in Minkowski 3-space. Zbl 1198.53010Chino, Sachiko; Izumiya, Shyuichi 6 2010 Geometric singularities for solutions of single conservation laws. Zbl 0907.35082Izumiya, Shyuichi; Kossioris, Georgios T. 6 1997 Normal developable surfaces of surfaces along curves. Zbl 1420.57077Hananoi, Satoshi; Izumiya, Shyuichi 6 2017 Lightcone dualities for curves in the sphere. Zbl 1262.53015Izumiya, Shyuichi; Jiang, Yang; Pei, Donghe 6 2013 Multivalued solutions to the eikonal equation in stratified media. Zbl 1027.35137Izumiya, S.; Kossioris, G. T.; Makrakis, G. N. 6 2001 Generic affine differential geometry of space curves. Zbl 0916.53005Izumiya, Shyuichi; Sano, Takasi 6 1998 Curves and surfaces in hyperbolic space. Zbl 1063.53016Izumiya, Shyuichi; Pei, Donghe; Takahashi, Masatomo 6 2004 Notes on smooth function germs on varieties. Zbl 0594.58013Izumiya, Shyūichi; Matsuoka, Sachiko 5 1986 Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space. Zbl 1188.53056Izumiya, Shyuichi; del Carmen Romero Fuster, María; Saji, Kentaro 5 2009 Global properties of codimension two spacelike submanifolds in Minkowski space. Zbl 1187.53059Izumiya, Shyuichi; Ballesteros, Juan José Nuño; del Carmen Romero Fuster, María 5 2010 Folding maps on spacelike and timelike surfaces and duality. Zbl 1201.53020Izumiya, Shyuichi; Takahashi, Masatomo; Tari, Farid 5 2010 A time-like surface in Minkowski 3-space which contains pseudocircles. Zbl 0876.53013Izumiya, Shyuichi; Takiyama, Akihiro 5 1997 On the horospherical ridges of submanifolds of codimension 2 in Hyperbolic \(n\)-space. Zbl 1086.53081Izumiya, S.; Pei, D.; Romero-Fuster, M. C.; Takahashi, M. 5 2004 A time-like surface in Minkowski 3-space which contains light-like lines. Zbl 0916.53012Izumiya, Shyuichi; Takiyama, Akihiro 4 1999 Horo-tight spheres in hyperbolic space. Zbl 1235.53012Buosi, Marcelo; Izumiya, Shyuichi; Ruas, Maria Aparecida Soares 4 2011 Horospherical geometry in the hyperbolic space. Zbl 1181.53011Izumiya, Shyuichi 4 2009 Evolutes of curves in the Lorentz-Minkowski plane. Zbl 1428.53020Izumiya, S.; Romero Fuster, M. C.; Takahashi, M. 4 2018 Pedal foliations and Gauss maps of hypersurfaces in Euclidean space. Zbl 1292.57025Izumiya, Shyuichi; Takahashi, Masatomo 4 2012 Semi-local classification of geometric singularities for Hamilton-Jacobi equations. Zbl 0837.35091Izumiya, Shyuichi; Kossioris, Georgios T. 4 1995 A characterization of complete integrability for partial differential equations of first order. Zbl 0822.35025Izumiya, Shyuichi 4 1994 Geometry of special curves and surfaces in 3-space form. Zbl 1410.53022Huang, Jie; Chen, Liang; Izumiya, Shyuichi; Pei, Donghe 4 2019 Apparent contours in Minkowski 3-space and first order ordinary differential equations. Zbl 1268.53010Izumiya, Shyuichi; Tari, Farid 4 2013 Caustics of world hyper-sheets in the Minkowski space-time. Zbl 1364.58018Izumiya, Shyuichi 4 2016 Projections of timelike surfaces in the de Sitter space. Zbl 1227.53012Izumiya, Shyuichi; Tari, Farid 3 2010 Spacelike surfaces in anti de Sitter four-space from a contact viewpoint. Zbl 1201.53063Izumiya, Shyuichi; Pei, Donghe; Del Carmen Romero Fuster, María 3 2009 Geometric singularities for Hamilton-Jacobi equation. Zbl 0837.35090Izumiya, Shyūichi 3 1993 Generic properties of first order partial differential equations. Zbl 1038.58500Izumiya, S. 3 1992 Systems of Clairaut type. Zbl 0821.35025Izumiya, Shyuichi 3 1994 Lightcone dualities for curves in the lightcone unit 3-sphere. Zbl 1284.53022Izumiya, Shyuichi; Jiang, Yang; Sato, Takami 3 2013 Horospherical and hyperbolic dual surfaces of spacelike curves in de Sitter space. Zbl 1377.53016Izumiya, Shyuichi; Nabarro, Ana Claudia; de Jesus Sacramento, Andrea 3 2017 Singularities of line congruences. Zbl 1053.53007Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko 3 2003 Focal surfaces and evolutes of curves in hyperbolic space. Zbl 1364.53011Hayashi, Ryota; Izumiya, Shyuichi; Sato, Takami 3 2017 Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space. Zbl 1331.83013Izumiya, Shyuichi 2 2015 The lightlike geometry of marginally trapped surfaces in Minkowski space-time. Zbl 1319.53012Honda, Atsufumi; Izumiya, Shyuichi 2 2015 Slant geometry on spacelike submanifolds of codimension two in Lorentz-Minkowski space. Zbl 1330.53024Izumiya, Shyuichi; Yıldırım, Handan 2 2015 Anti de Sitter horospherical flat timelike surfaces. Zbl 1305.53022Chen, Liang; Izumiya, Shyuichi; Pei, Donghe; Saji, Kentaro 2 2014 Timelike hypersurfaces in anti-de Sitter space from a contact viewpoint. Zbl 1309.53018Chen, L.; Izumiya, S.; Pei, D. 2 2014 The theory of graph-like Legendrian unfoldings and its applications. Zbl 1314.58022Izumiya, Shyuichi 2 2015 Stability of G-unfoldings. Zbl 0434.58012Izumiya, Shyuichi 2 1980 On caustics of submanifolds and canal hypersurfaces in Euclidean space. Zbl 1245.57034Izumiya, Shyuichi; Takahashi, Masatomo 2 2012 Global properties of space-like curves in Minkowski 3-space. Zbl 1110.53014Izumiya, Shyuichi; Kikuchi, Makoto; Takahashi, Masatomo 2 2006 The theory of graph-like Legendrian unfoldings: equivalence relations. Zbl 1475.58028Izumiya, Shyuichi 2 2018 The Euler characteristic of the image of a stable mapping from a closed \(n\)-manifold to a \((2n-1)\)-manifold. Zbl 0861.57041Izumiya, S.; Marar, W. L. 2 1993 Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space. Zbl 1291.53068Izumiya, Shyuichi 2 2014 Lightlike flat geometry of spacelike submanifolds in Lorentz-Minkowski space. Zbl 1296.53115Izumiya, Shyuichi; Kasedou, Masaki 2 2014 Bifurcations of shock waves for viscosity solutions of Hamilton-Jacobi equations of one space variable. Zbl 0908.35078Izumiya, Shyuichi; Kossioris, Georgios T. 2 1997 Realization theorems of geometric singularities for Hamilton-Jacobi equations. Zbl 0921.35004Izumiya, Shyuichi; Kossioris, Georgios T. 2 1997 Evolutoids and pedaloids of Minkowski plane curves. Zbl 1472.53015Aydın Şekerci, Gülşah; Izumiya, Shyuichi 2 2021 Evolutoids and pedaloids of plane curves. Zbl 1433.53005Izumiya, Shyuichi; Takeuchi, Nobuko 7 2019 Geometry of special curves and surfaces in 3-space form. Zbl 1410.53022Huang, Jie; Chen, Liang; Izumiya, Shyuichi; Pei, Donghe 4 2019 Developable surfaces along frontal curves on embedded surfaces. Zbl 1423.57049Honda, Shun’ichi; Izumiya, Shyuichi; Takahashi, Masatomo 1 2019 Evolutes of curves in the Lorentz-Minkowski plane. Zbl 1428.53020Izumiya, S.; Romero Fuster, M. C.; Takahashi, M. 4 2018 The theory of graph-like Legendrian unfoldings: equivalence relations. Zbl 1475.58028Izumiya, Shyuichi 2 2018 Flat surfaces along cuspidal edges. Zbl 1376.57034Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko 13 2017 Normal developable surfaces of surfaces along curves. Zbl 1420.57077Hananoi, Satoshi; Izumiya, Shyuichi 6 2017 Horospherical and hyperbolic dual surfaces of spacelike curves in de Sitter space. Zbl 1377.53016Izumiya, Shyuichi; Nabarro, Ana Claudia; de Jesus Sacramento, Andrea 3 2017 Focal surfaces and evolutes of curves in hyperbolic space. Zbl 1364.53011Hayashi, Ryota; Izumiya, Shyuichi; Sato, Takami 3 2017 Generalized Sabban curves in the Euclidean \(n\)-sphere and spherical duality. Zbl 1375.53011Izumiya, Shyuichi; Nagai, Takayuki 2 2017 Classification of Hamiltonians in neighborhoods of band crossings in terms of the theory of singularities. Zbl 1370.82042Teramoto, Hiroshi; Kondo, Kenji; Izumiya, Shyūichi; Toda, Mikito; Komatsuzaki, Tamiki 1 2017 Differential geometry from a singularity theory viewpoint. Zbl 1369.53004Izumiya, Shyuichi; Romero Fuster, Maria del Carmen; Ruas, Maria Aparecida Soares; Tari, Farid 42 2016 Caustics of world hyper-sheets in the Minkowski space-time. Zbl 1364.58018Izumiya, Shyuichi 4 2016 Geometric interpretation of Lagrangian equivalence. Zbl 1376.58015Izumiya, Shyuichi 1 2016 Geometry of world sheets in Lorentz-Minkowski space. Zbl 1373.53023Izumiya, Shyuichi 1 2016 Flat approximations of surfaces along curves. Zbl 1330.57045Izumiya, Shyuichi; Otani, Saki 15 2015 Spherical Darboux images of curves on surfaces. Zbl 1327.53005Hananoi, Satoshi; Ito, Noriaki; Izumiya, Shyuichi 6 2015 Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space. Zbl 1331.83013Izumiya, Shyuichi 2 2015 The lightlike geometry of marginally trapped surfaces in Minkowski space-time. Zbl 1319.53012Honda, Atsufumi; Izumiya, Shyuichi 2 2015 Slant geometry on spacelike submanifolds of codimension two in Lorentz-Minkowski space. Zbl 1330.53024Izumiya, Shyuichi; Yıldırım, Handan 2 2015 The theory of graph-like Legendrian unfoldings and its applications. Zbl 1314.58022Izumiya, Shyuichi 2 2015 Pseudo-spherical normal Darboux images of curves on a timelike surface in three dimensional Lorentz-Minkowski space. Zbl 1323.58028Izumiya, Shyuichi; Nabarro, Ana Claudia; Sacramento, Andrea de Jesus 1 2015 Anti de Sitter horospherical flat timelike surfaces. Zbl 1305.53022Chen, Liang; Izumiya, Shyuichi; Pei, Donghe; Saji, Kentaro 2 2014 Timelike hypersurfaces in anti-de Sitter space from a contact viewpoint. Zbl 1309.53018Chen, L.; Izumiya, S.; Pei, D. 2 2014 Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space. Zbl 1291.53068Izumiya, Shyuichi 2 2014 Lightlike flat geometry of spacelike submanifolds in Lorentz-Minkowski space. Zbl 1296.53115Izumiya, Shyuichi; Kasedou, Masaki 2 2014 Lightlike hypersurfaces along spacelike submanifolds in de Sitter space. Zbl 1310.53050Izumiya, Shyuichi; Sato, Takami 1 2014 Lightlike hypersurfaces along spacelike submanifolds in Minkowski space-time. Zbl 1281.53023Izumiya, Shyuichi; Sato, Takami 7 2013 Lightcone dualities for curves in the sphere. Zbl 1262.53015Izumiya, Shyuichi; Jiang, Yang; Pei, Donghe 6 2013 Apparent contours in Minkowski 3-space and first order ordinary differential equations. Zbl 1268.53010Izumiya, Shyuichi; Tari, Farid 4 2013 Lightcone dualities for curves in the lightcone unit 3-sphere. Zbl 1284.53022Izumiya, Shyuichi; Jiang, Yang; Sato, Takami 3 2013 Duals of curves in hyperbolic space. Zbl 1291.53014Hayashi, Ryota; Izumiya, Shyuichi; Sato, Takami 1 2013 Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space. Zbl 1235.53021Izumiya, Shyuichi; Yıldırım, Handan 8 2012 Slant geometry of spacelike hypersurfaces in hyperbolic space and de Sitter space. Zbl 1247.53021Asayama, Mikuri; Izumiya, Shyuichi; Tamaoki, Aiko; Yıldırım, Handan 7 2012 Pedal foliations and Gauss maps of hypersurfaces in Euclidean space. Zbl 1292.57025Izumiya, Shyuichi; Takahashi, Masatomo 4 2012 On caustics of submanifolds and canal hypersurfaces in Euclidean space. Zbl 1245.57034Izumiya, Shyuichi; Takahashi, Masatomo 2 2012 Great circular surfaces in the three-sphere. Zbl 1218.53054Izumiya, Shyuichi; Nagai, Takayuki; Saji, Kentaro 9 2011 Slant geometry of spacelike hypersurfaces in the lightcone. Zbl 1225.53020Izumiya, Shyuichi; Yildirim, Handan 7 2011 Horo-tight spheres in hyperbolic space. Zbl 1235.53012Buosi, Marcelo; Izumiya, Shyuichi; Ruas, Maria Aparecida Soares 4 2011 Horospherical flat surfaces in hyperbolic 3-space. Zbl 1205.53065Izumiya, Shyuichi; Saji, Kentaro; Takahashi, Masatomo 39 2010 The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space and “flat” spacelike surfaces. Zbl 1292.53009Izumiya, Shyuichi; Saji, Kentaro 34 2010 Self-adjoint operators on surfaces with singular metrics. Zbl 1203.53020Izumiya, S.; Tari, F. 12 2010 Total absolute horospherical curvature of submanifolds in hyperbolic space. Zbl 1201.53069Buosi, Marcelo; Izumiya, Shyuichi; Ruas, Maria Aparecida Soares 7 2010 Singularities of Anti de Sitter torus Gauss maps. Zbl 1193.53016Chen, Liang; Izumiya, Shyuichi 6 2010 Lightlike developables in Minkowski 3-space. Zbl 1198.53010Chino, Sachiko; Izumiya, Shyuichi 6 2010 Global properties of codimension two spacelike submanifolds in Minkowski space. Zbl 1187.53059Izumiya, Shyuichi; Ballesteros, Juan José Nuño; del Carmen Romero Fuster, María 5 2010 Folding maps on spacelike and timelike surfaces and duality. Zbl 1201.53020Izumiya, Shyuichi; Takahashi, Masatomo; Tari, Farid 5 2010 Projections of timelike surfaces in the de Sitter space. Zbl 1227.53012Izumiya, Shyuichi; Tari, Farid 3 2010 Projections of surfaces in the hyperbolic space along horocycles. Zbl 1193.53129Izumiya, Shyuichi; Tari, Farid 1 2010 Legendrian dualities and spacelike hypersurfaces in the lightcone. Zbl 1188.53055Izumiya, Shyuichi 32 2009 A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space. Zbl 1169.53308Chen, Liang; Izumiya, Shyuichi 16 2009 Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space. Zbl 1188.53056Izumiya, Shyuichi; del Carmen Romero Fuster, María; Saji, Kentaro 5 2009 Horospherical geometry in the hyperbolic space. Zbl 1181.53011Izumiya, Shyuichi 4 2009 Spacelike surfaces in anti de Sitter four-space from a contact viewpoint. Zbl 1201.53063Izumiya, Shyuichi; Pei, Donghe; Del Carmen Romero Fuster, María 3 2009 Generic singularities of implicit systems of first order differential equations on the plane. Zbl 1183.37089Davydov, A. A.; Ishikawa, G.; Izumiya, S.; Sun, W.-Z. 14 2008 Lightlike surfaces of spacelike curves in de Sitter 3-space. Zbl 1136.53008Fusho, Takesi; Izumiya, Shyuichi 12 2008 Caustics and wave front propagations: applications to differential geometry. Zbl 1156.57025Izumiya, Shyuichi; Takahashi, Masatomo 12 2008 Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes. Zbl 1170.53011Izumiya, Shyuichi; Tari, Farid 10 2008 Spacelike parallels and evolutes in Minkowski pseudo-spheres. Zbl 1121.53036Izumiya, Shyuichi; Takahashi, Masatomo 22 2007 The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space. Zbl 1141.53066Izumiya, Shyuichi; Romero Fuster, María del Carmen 19 2007 Time-like hypersurfaces in de Sitter space and Legendrian singularities. Zbl 1177.53066Izumiya, Shyuichi 11 2007 Circular surfaces. Zbl 1123.53005Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko 8 2007 Differential geometry from the view point of Lagrangian or Legendrian singularity theory. Zbl 1144.53010Izumiya, Shyuichi 7 2007 The horospherical Gauss-Bonnet type theorem in hyperbolic space. Zbl 1111.53042Izumiya, Shyuichi; Romero Fuster, María del Carmen 18 2006 Singularities of lightlike hypersurfaces in Minkowski four-space. Zbl 1111.53018Izumiya, Shyuichi; Kossowski, Marek; Pei, Donghe; Romero Fuster, M. Carmen 17 2006 The horospherical geometry of surfaces in hyperbolic 4-space. Zbl 1181.53045Izumiya, Shyuichi; Pei, Donghe; Romero Fuster, María del Carmen 10 2006 Global properties of space-like curves in Minkowski 3-space. Zbl 1110.53014Izumiya, Shyuichi; Kikuchi, Makoto; Takahashi, Masatomo 2 2006 The horospherical geometry of submanifolds in hyperbolic space. Zbl 1113.53011Izumiya, S.; Pei, D.; Romero-Fuster, M. C.; Takahashi, M. 18 2005 New special curves and developable surfaces. Zbl 1081.53003Izumiya, Shyuichi; Takeuchi, Nobuko 101 2004 Evolutes of hyperbolic plane curves. Zbl 1065.53022Izumiya, Shyuichi; Pei, Dong He; Sano, Takashi; Torii, Erika 24 2004 Singularities of evolutes of hypersurfaces in hyperbolic space. Zbl 1074.53045Izumiya, Shyuichi; Pei, Donghe; Takahashi, Masatomo 17 2004 The lightcone Gauss map of a spacelike surface in Minkowski 4-space. Zbl 1084.53048Izumiya, Shyuichi; Pei, Donghe; del Carmen Romero Fuster, María 15 2004 Umbilicity of space-like submanifolds of Minkowski space. Zbl 1065.53049Izumiya, Shyuichi; Pei, Donghe; Romero-Fuster, María del Carmen 15 2004 Curves and surfaces in hyperbolic space. Zbl 1063.53016Izumiya, Shyuichi; Pei, Donghe; Takahashi, Masatomo 6 2004 On the horospherical ridges of submanifolds of codimension 2 in Hyperbolic \(n\)-space. Zbl 1086.53081Izumiya, S.; Pei, D.; Romero-Fuster, M. C.; Takahashi, M. 5 2004 Singularities of hyperbolic Gauss maps. Zbl 1041.58017Izumiya, Shyuichi; Pei, Donghe; Sano, Takasi 46 2003 Special curves and ruled surfaces. Zbl 1035.53024Izumiya, Shyuichi; Takeuchi, Nobuko 18 2003 Singularities of line congruences. Zbl 1053.53007Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko 3 2003 Generic properties of helices and Bertrand curves. Zbl 1031.53007Izumiya, Shyuichi; Takeuchi, Nobuko 28 2002 Singularities of ruled surfaces in \(\mathbb R^3\). Zbl 1098.58504Izumiya, Shyuichi; Takeuchi, Nobuko 15 2001 Multivalued solutions to the eikonal equation in stratified media. Zbl 1027.35137Izumiya, 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 0970.53015Izumiya, Shyuichi; Pei, Donghe; Sano, Takasi 21 2000 The rectifying developable and the spherical Darboux image of a space curve. Zbl 0973.58023Izumiya, Shyuichi; Katsumi, Haruyo; Yamasaki, Takako 14 1999 A time-like surface in Minkowski 3-space which contains light-like lines. Zbl 0916.53012Izumiya, Shyuichi; Takiyama, Akihiro 4 1999 Generic affine differential geometry of plane curves. Zbl 0965.53013Izumiya, Shyuichi; Sano, Takasi 8 1998 Generic affine differential geometry of space curves. Zbl 0916.53005Izumiya, Shyuichi; Sano, Takasi 6 1998 Characteristic vector fields for first order partial differential equations. Zbl 0942.35042Izumiya, Shyuichi 1 1998 Real analytic and algebraic singularities. Zbl 0882.00014 1 1998 Geometric singularities for solutions of single conservation laws. Zbl 0907.35082Izumiya, Shyuichi; Kossioris, Georgios T. 6 1997 A time-like surface in Minkowski 3-space which contains pseudocircles. Zbl 0876.53013Izumiya, Shyuichi; Takiyama, Akihiro 5 1997 Bifurcations of shock waves for viscosity solutions of Hamilton-Jacobi equations of one space variable. Zbl 0908.35078Izumiya, Shyuichi; Kossioris, Georgios T. 2 1997 Realization theorems of geometric singularities for Hamilton-Jacobi equations. Zbl 0921.35004Izumiya, Shyuichi; Kossioris, Georgios T. 2 1997 Overdetermined systems of first order partial differential equations with singular solution. Zbl 0882.35030Izumiya, Shyuichi; Li, Bing 1 1997 Singularities of solution surfaces for quasilinear first-order partial differential equations. Zbl 0885.35003Izumiya, Shyuichi; Sun, Wei-Zhi 1 1997 Formation of singularities for viscosity solutions of Hamilton-Jacobi equations. Zbl 0877.35077Izumiya, Shyuichi; Kossioris, Georgios T. 1 1996 Completely integrable holonomic systems of first-order differential equations. Zbl 0843.58067Izumiya, Shyuichi 8 1995 On topologically stable singular surfaces in a 3-manifold. Zbl 0840.57010Izumiya, Shyuichi; Marar, Washington L. 8 1995 Holonomic systems of Clairaut type. Zbl 0832.35028Izumiya, Shyuichi; Kurokawa, Yasuhiro 8 1995 Semi-local classification of geometric singularities for Hamilton-Jacobi equations. Zbl 0837.35091Izumiya, Shyuichi; Kossioris, Georgios T. 4 1995 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 426 Authors 64 Izumiya, Shyuichi 30 Saji, Kentaro 27 Pei, Donghe 26 Takahashi, Masatomo 18 Yayli, Yusuf 17 Tari, Farid 15 Gök, İsmail 12 Teramoto, Keisuke 12 Umehara, Masaaki 11 Chen, Liang 8 Yamada, Kotaro 7 Honda, Atsufumi 7 Kong, LingLing 7 Romero-Fuster, María Carmen 7 Sinha, Raúl Oset 6 Ishikawa, Goo 6 Nishimura, Takashi 6 Wang, Yongqiao 6 Wang, Zhigang 6 Yildirim, Handan 5 Bektaş, Mehmet 5 Fukunaga, Tomonori 5 İlarslan, Kazim 5 Nabarro, Ana Claudia 5 Önder, Mehmet 5 Öztürk, Ufuk 5 Romero Fuster, Maria del Carmen 5 Soares Ruas, Maria Aparecida 5 Sato, Takami 5 Uçum, Ali 5 Yilmaz, Beyhan 4 Benamou, Jean-David 4 Călin, Constantin 4 Crâşmăreanu, Mircea 4 Garcia, Ronaldo A. 4 Jiang, Yang 4 Kasedou, Masaki 4 Korpinar, Talat 4 Kossowski, Marek 4 Li, Yanlin 4 Liu, Haiming 4 Lucas, Pascual 4 Nešović, Emilija 4 Ortega-Yagües, José Antonio 4 Pérez-Díaz, Sonia 4 Ünlütürk, Yasin 3 Abdel-Baky, Rashad A. 3 Alghanemi, Azeb 3 Altunkaya, Bülent 3 Brander, David 3 Camci, Çetin 3 Chen, Bang-Yen 3 Dai, Limei 3 Davydov, Alekseĭ Aleksandrovich 3 Deshmukh, Sharief 3 Ergut, Mahmut 3 Gosse, Laurent 3 Hacísalihoğlu, Hasan Hilmi 3 Hasegawa, Masaru 3 Honda, Shun’ichi 3 Karlıga, Baki 3 Kiziltug, Sezai 3 Kula, Levent 3 Martins, Luciana F. 3 Martins, Rodrigo 3 Miao, Jiajing 3 Navarro, Matías 3 Nowik, Tahl 3 Nuño-Ballesteros, Juan José 3 Ozturk, Esra Betul Koc 3 Palmas, Oscar 3 Remizov, Alexey O. 3 Shen, Liyong 3 Silva, Jorge Luiz Deolindo 3 Şimşek, Hakan 3 Solis, Didier A. 3 Sun, Weizhi 3 Takeuchi, Nobuko 3 Turhan, Essin 2 Agafonov, Sergey I. 2 Ates, Fatma 2 Aydin, Muhittin Evren 2 Bao, Jiguang 2 Benedini Riul, Pedro 2 Bhat, Vishesh S. 2 Bogaevskij, Il’ya Aleksandrovich 2 Bruce, James William 2 Buosi, Marcelo 2 Çakmak, Ali 2 Çanakcı, Zeynep 2 Chahdi, Amina Ouazzani 2 Choi, Jinho 2 Craizer, Marcos 2 Dragović, Vladimir 2 Dreibelbis, Daniel 2 Düldül, Bahar Uyar 2 Düldül, Mustafa 2 Ekmekci, Faik Nejat 2 Ekmekçi, Nejat 2 Fujimori, Shoichi ...and 326 more Authors all top 5 Cited in 160 Serials 21 Journal of Geometry and Physics 17 Journal of Singularities 16 Journal of Geometry 14 Topology and its Applications 14 Differential Geometry and its Applications 11 Turkish Journal of Mathematics 10 Journal of Mathematical Analysis and Applications 10 Applied Mathematics and Computation 9 Geometriae Dedicata 8 Tôhoku Mathematical Journal. Second Series 8 Bulletin of the Brazilian Mathematical Society. New Series 8 Mediterranean Journal of Mathematics 8 AIMS Mathematics 7 International Electronic Journal of Geometry 6 Journal of the Mathematical Society of Japan 6 Osaka Journal of Mathematics 6 Proceedings of the American Mathematical Society 6 Filomat 6 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics 6 Boletim da Sociedade Paranaense de Matemática. Terceira Série 6 International Journal of Geometric Methods in Modern Physics 5 Journal of Mathematical Physics 5 Beiträge zur Algebra und Geometrie 5 Kodai Mathematical Journal 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Journal of Mathematical Sciences (New York) 5 Advances in Applied Clifford Algebras 5 Journal of Dynamical and Control Systems 4 Journal of Computational Physics 4 Journal of Differential Equations 4 Manuscripta Mathematica 4 Results in Mathematics 4 The Journal of Geometric Analysis 4 Advances in Geometry 4 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 4 Journal of Dynamical Systems and Geometric Theories 4 Asian-European Journal of Mathematics 4 Advances in Mathematical Physics 4 Symmetry 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 Abstract and Applied Analysis 3 Lobachevskii Journal of Mathematics 3 Iranian Journal of Science and Technology. Transaction A: Science 3 Proceedings of the Steklov Institute of Mathematics 3 Acta Universitatis Sapientiae. Mathematica 3 Science China. Mathematics 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Ukrainian Mathematical Journal 2 Advances in Mathematics 2 Demonstratio Mathematica 2 Mathematische Nachrichten 2 Mathematische Zeitschrift 2 Monatshefte für Mathematik 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Advances in Applied Mathematics 2 Note di Matematica 2 Annals of Global Analysis and Geometry 2 Computer Aided Geometric Design 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 Honam Mathematical Journal 2 Journal of Systems Science and Complexity 2 Hacettepe Journal of Mathematics and Statistics 2 Journal of Nonlinear Science and Applications 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Function Spaces 2 Korean Journal of Mathematics 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Annales Polonici Mathematici 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 BIT 1 Colloquium Mathematicum 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Computational and Applied Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of Mathematical Psychology 1 Kyungpook Mathematical Journal 1 Mathematische Annalen 1 Mathematica Slovaca 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Quarterly of Applied Mathematics 1 Tamkang Journal of Mathematics 1 Theoretical Computer Science ...and 60 more Serials all top 5 Cited in 37 Fields 338 Differential geometry (53-XX) 132 Global analysis, analysis on manifolds (58-XX) 97 Manifolds and cell complexes (57-XX) 38 Partial differential equations (35-XX) 33 Ordinary differential equations (34-XX) 27 Dynamical systems and ergodic theory (37-XX) 17 Algebraic geometry (14-XX) 17 Numerical analysis (65-XX) 15 Several complex variables and analytic spaces (32-XX) 11 Optics, electromagnetic theory (78-XX) 10 Geometry (51-XX) 9 Relativity and gravitational theory (83-XX) 7 Topological groups, Lie groups (22-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 4 Field theory and polynomials (12-XX) 4 Convex and discrete geometry (52-XX) 3 Commutative algebra (13-XX) 3 Quantum theory (81-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 2 Real functions (26-XX) 2 Special functions (33-XX) 2 Algebraic topology (55-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year