## Izumiya, Shyuichi

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 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
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### 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
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### 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
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### 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)

### 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 1081.53003
Izumiya, Shyuichi; Takeuchi, Nobuko
2004
Singularities of hyperbolic Gauss maps. Zbl 1041.58017
Izumiya, Shyuichi; Pei, Donghe; Sano, Takasi
2003
Differential geometry from a singularity theory viewpoint. Zbl 1369.53004
Izumiya, Shyuichi; Romero Fuster, Maria del Carmen; Ruas, Maria Aparecida Soares; Tari, Farid
2016
Horospherical flat surfaces in hyperbolic 3-space. Zbl 1205.53065
Izumiya, Shyuichi; Saji, Kentaro; Takahashi, Masatomo
2010
The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space and “flat” spacelike surfaces. Zbl 1292.53009
Izumiya, Shyuichi; Saji, Kentaro
2010
Legendrian dualities and spacelike hypersurfaces in the lightcone. Zbl 1188.53055
Izumiya, Shyuichi
2009
Generic properties of helices and Bertrand curves. Zbl 1031.53007
Izumiya, Shyuichi; Takeuchi, Nobuko
2002
Evolutes of hyperbolic plane curves. Zbl 1065.53022
Izumiya, Shyuichi; Pei, Dong He; Sano, Takashi; Torii, Erika
2004
Spacelike parallels and evolutes in Minkowski pseudo-spheres. Zbl 1121.53036
Izumiya, Shyuichi; Takahashi, Masatomo
2007
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
2000
Classification of generic integral diagrams and first order ordinary differential equations. Zbl 0877.58009
Hayakawa, A.; Ishikawa, G.; Izumiya, S.; Yamaguchi, K.
1994
The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space. Zbl 1141.53066
Izumiya, Shyuichi; Romero Fuster, María del Carmen
2007
The horospherical geometry of submanifolds in hyperbolic space. Zbl 1113.53011
Izumiya, S.; Pei, D.; Romero-Fuster, M. C.; Takahashi, M.
2005
The horospherical Gauss-Bonnet type theorem in hyperbolic space. Zbl 1111.53042
Izumiya, Shyuichi; Romero Fuster, María del Carmen
2006
Special curves and ruled surfaces. Zbl 1035.53024
Izumiya, Shyuichi; Takeuchi, Nobuko
2003
Singularities of lightlike hypersurfaces in Minkowski four-space. Zbl 1111.53018
Izumiya, Shyuichi; Kossowski, Marek; Pei, Donghe; Romero Fuster, M. Carmen
2006
Singularities of evolutes of hypersurfaces in hyperbolic space. Zbl 1074.53045
Izumiya, Shyuichi; Pei, Donghe; Takahashi, Masatomo
2004
A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space. Zbl 1169.53308
Chen, Liang; Izumiya, Shyuichi
2009
Singularities of ruled surfaces in $$\mathbb R^3$$. Zbl 1098.58504
Izumiya, Shyuichi; Takeuchi, Nobuko
2001
Flat approximations of surfaces along curves. Zbl 1330.57045
Izumiya, Shyuichi; Otani, Saki
2015
The lightcone Gauss map of a spacelike surface in Minkowski 4-space. Zbl 1084.53048
Izumiya, Shyuichi; Pei, Donghe; del Carmen Romero Fuster, María
2004
Umbilicity of space-like submanifolds of Minkowski space. Zbl 1065.53049
Izumiya, Shyuichi; Pei, Donghe; Romero-Fuster, María del Carmen
2004
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.
2008
The Euler characteristic of a generic wavefront in a 3-manifold. Zbl 0785.58011
Izumiya, S.; Marar, W. L.
1993
The rectifying developable and the spherical Darboux image of a space curve. Zbl 0973.58023
Izumiya, Shyuichi; Katsumi, Haruyo; Yamasaki, Takako
1999
Flat surfaces along cuspidal edges. Zbl 1376.57034
Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko
2017
Self-adjoint operators on surfaces with singular metrics. Zbl 1203.53020
Izumiya, S.; Tari, F.
2010
Lightlike surfaces of spacelike curves in de Sitter 3-space. Zbl 1136.53008
Fusho, Takesi; Izumiya, Shyuichi
2008
Caustics and wave front propagations: applications to differential geometry. Zbl 1156.57025
Izumiya, Shyuichi; Takahashi, Masatomo
2008
The theory of Legendrian unfoldings and first-order differential equations. Zbl 0786.35033
Izumiya, Shyuichi
1993
Singular solutions of first-order differential equations. Zbl 0837.35008
Izumiya, S.
1994
Time-like hypersurfaces in de Sitter space and Legendrian singularities. Zbl 1177.53066
Izumiya, Shyuichi
2007
Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes. Zbl 1170.53011
Izumiya, Shyuichi; Tari, Farid
2008
The horospherical geometry of surfaces in hyperbolic 4-space. Zbl 1181.53045
Izumiya, Shyuichi; Pei, Donghe; Romero Fuster, María del Carmen
2006
Great circular surfaces in the three-sphere. Zbl 1218.53054
Izumiya, Shyuichi; Nagai, Takayuki; Saji, Kentaro
2011
Generic bifurcations of varieties. Zbl 0537.58009
Izumiya, Shyūichi
1984
Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space. Zbl 1235.53021
Izumiya, Shyuichi; Yıldırım, Handan
2012
Circular surfaces. Zbl 1123.53005
Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko
2007
Perestroikas of optical wave fronts and graphlike Legendrian unfoldings. Zbl 0781.57016
Izumiya, Shyūichi
1993
Completely integrable holonomic systems of first-order differential equations. Zbl 0843.58067
Izumiya, Shyuichi
1995
How to define singular solutions. Zbl 0794.34003
Izumiya, Shyuichi; Yu, Jianming
1993
On topologically stable singular surfaces in a 3-manifold. Zbl 0840.57010
Izumiya, Shyuichi; Marar, Washington L.
1995
Generic affine differential geometry of plane curves. Zbl 0965.53013
Izumiya, Shyuichi; Sano, Takasi
1998
Holonomic systems of Clairaut type. Zbl 0832.35028
Izumiya, Shyuichi; Kurokawa, Yasuhiro
1995
Slant geometry of spacelike hypersurfaces in the lightcone. Zbl 1225.53020
Izumiya, Shyuichi; Yildirim, Handan
2011
Slant geometry of spacelike hypersurfaces in hyperbolic space and de Sitter space. Zbl 1247.53021
Asayama, Mikuri; Izumiya, Shyuichi; Tamaoki, Aiko; Yıldırım, Handan
2012
Differential geometry from the view point of Lagrangian or Legendrian singularity theory. Zbl 1144.53010
Izumiya, Shyuichi
2007
Total absolute horospherical curvature of submanifolds in hyperbolic space. Zbl 1201.53069
Buosi, Marcelo; Izumiya, Shyuichi; Ruas, Maria Aparecida Soares
2010
On Clairaut-type equations. Zbl 0822.34003
Izumiya, Shyuichi
1994
Lightlike hypersurfaces along spacelike submanifolds in Minkowski space-time. Zbl 1281.53023
Izumiya, Shyuichi; Sato, Takami
2013
Evolutoids and pedaloids of plane curves. Zbl 1433.53005
Izumiya, Shyuichi; Takeuchi, Nobuko
2019
Spherical Darboux images of curves on surfaces. Zbl 1327.53005
Hananoi, Satoshi; Ito, Noriaki; Izumiya, Shyuichi
2015
Singularities of Anti de Sitter torus Gauss maps. Zbl 1193.53016
Chen, Liang; Izumiya, Shyuichi
2010
Lightlike developables in Minkowski 3-space. Zbl 1198.53010
Chino, Sachiko; Izumiya, Shyuichi
2010
Geometric singularities for solutions of single conservation laws. Zbl 0907.35082
Izumiya, Shyuichi; Kossioris, Georgios T.
1997
Normal developable surfaces of surfaces along curves. Zbl 1420.57077
Hananoi, Satoshi; Izumiya, Shyuichi
2017
Lightcone dualities for curves in the sphere. Zbl 1262.53015
Izumiya, Shyuichi; Jiang, Yang; Pei, Donghe
2013
Multivalued solutions to the eikonal equation in stratified media. Zbl 1027.35137
Izumiya, S.; Kossioris, G. T.; Makrakis, G. N.
2001
Generic affine differential geometry of space curves. Zbl 0916.53005
Izumiya, Shyuichi; Sano, Takasi
1998
Curves and surfaces in hyperbolic space. Zbl 1063.53016
Izumiya, Shyuichi; Pei, Donghe; Takahashi, Masatomo
2004
Notes on smooth function germs on varieties. Zbl 0594.58013
Izumiya, Shyūichi; Matsuoka, Sachiko
1986
Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space. Zbl 1188.53056
Izumiya, Shyuichi; del Carmen Romero Fuster, María; Saji, Kentaro
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
2010
Folding maps on spacelike and timelike surfaces and duality. Zbl 1201.53020
Izumiya, Shyuichi; Takahashi, Masatomo; Tari, Farid
2010
A time-like surface in Minkowski 3-space which contains pseudocircles. Zbl 0876.53013
Izumiya, Shyuichi; Takiyama, Akihiro
1997
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.
2004
A time-like surface in Minkowski 3-space which contains light-like lines. Zbl 0916.53012
Izumiya, Shyuichi; Takiyama, Akihiro
1999
Horo-tight spheres in hyperbolic space. Zbl 1235.53012
Buosi, Marcelo; Izumiya, Shyuichi; Ruas, Maria Aparecida Soares
2011
Horospherical geometry in the hyperbolic space. Zbl 1181.53011
Izumiya, Shyuichi
2009
Evolutes of curves in the Lorentz-Minkowski plane. Zbl 1428.53020
Izumiya, S.; Romero Fuster, M. C.; Takahashi, M.
2018
Pedal foliations and Gauss maps of hypersurfaces in Euclidean space. Zbl 1292.57025
Izumiya, Shyuichi; Takahashi, Masatomo
2012
Semi-local classification of geometric singularities for Hamilton-Jacobi equations. Zbl 0837.35091
Izumiya, Shyuichi; Kossioris, Georgios T.
1995
A characterization of complete integrability for partial differential equations of first order. Zbl 0822.35025
Izumiya, Shyuichi
1994
Geometry of special curves and surfaces in 3-space form. Zbl 1410.53022
Huang, Jie; Chen, Liang; Izumiya, Shyuichi; Pei, Donghe
2019
Apparent contours in Minkowski 3-space and first order ordinary differential equations. Zbl 1268.53010
Izumiya, Shyuichi; Tari, Farid
2013
Caustics of world hyper-sheets in the Minkowski space-time. Zbl 1364.58018
Izumiya, Shyuichi
2016
Projections of timelike surfaces in the de Sitter space. Zbl 1227.53012
Izumiya, Shyuichi; Tari, Farid
2010
Spacelike surfaces in anti de Sitter four-space from a contact viewpoint. Zbl 1201.53063
Izumiya, Shyuichi; Pei, Donghe; Del Carmen Romero Fuster, María
2009
Geometric singularities for Hamilton-Jacobi equation. Zbl 0837.35090
Izumiya, Shyūichi
1993
Generic properties of first order partial differential equations. Zbl 1038.58500
Izumiya, S.
1992
Systems of Clairaut type. Zbl 0821.35025
Izumiya, Shyuichi
1994
Lightcone dualities for curves in the lightcone unit 3-sphere. Zbl 1284.53022
Izumiya, Shyuichi; Jiang, Yang; Sato, Takami
2013
Horospherical and hyperbolic dual surfaces of spacelike curves in de Sitter space. Zbl 1377.53016
Izumiya, Shyuichi; Nabarro, Ana Claudia; de Jesus Sacramento, Andrea
2017
Singularities of line congruences. Zbl 1053.53007
Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko
2003
Focal surfaces and evolutes of curves in hyperbolic space. Zbl 1364.53011
Hayashi, Ryota; Izumiya, Shyuichi; Sato, Takami
2017
Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space. Zbl 1331.83013
Izumiya, Shyuichi
2015
The lightlike geometry of marginally trapped surfaces in Minkowski space-time. Zbl 1319.53012
Honda, Atsufumi; Izumiya, Shyuichi
2015
Slant geometry on spacelike submanifolds of codimension two in Lorentz-Minkowski space. Zbl 1330.53024
Izumiya, Shyuichi; Yıldırım, Handan
2015
Anti de Sitter horospherical flat timelike surfaces. Zbl 1305.53022
Chen, Liang; Izumiya, Shyuichi; Pei, Donghe; Saji, Kentaro
2014
Timelike hypersurfaces in anti-de Sitter space from a contact viewpoint. Zbl 1309.53018
Chen, L.; Izumiya, S.; Pei, D.
2014
The theory of graph-like Legendrian unfoldings and its applications. Zbl 1314.58022
Izumiya, Shyuichi
2015
Stability of G-unfoldings. Zbl 0434.58012
Izumiya, Shyuichi
1980
On caustics of submanifolds and canal hypersurfaces in Euclidean space. Zbl 1245.57034
Izumiya, Shyuichi; Takahashi, Masatomo
2012
Global properties of space-like curves in Minkowski 3-space. Zbl 1110.53014
Izumiya, Shyuichi; Kikuchi, Makoto; Takahashi, Masatomo
2006
The theory of graph-like Legendrian unfoldings: equivalence relations. Zbl 1475.58028
Izumiya, Shyuichi
2018
The Euler characteristic of the image of a stable mapping from a closed $$n$$-manifold to a $$(2n-1)$$-manifold. Zbl 0861.57041
Izumiya, S.; Marar, W. L.
1993
Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space. Zbl 1291.53068
Izumiya, Shyuichi
2014
Lightlike flat geometry of spacelike submanifolds in Lorentz-Minkowski space. Zbl 1296.53115
Izumiya, Shyuichi; Kasedou, Masaki
2014
Bifurcations of shock waves for viscosity solutions of Hamilton-Jacobi equations of one space variable. Zbl 0908.35078
Izumiya, Shyuichi; Kossioris, Georgios T.
1997
Realization theorems of geometric singularities for Hamilton-Jacobi equations. Zbl 0921.35004
Izumiya, Shyuichi; Kossioris, Georgios T.
1997
Evolutoids and pedaloids of Minkowski plane curves. Zbl 1472.53015
Aydın Şekerci, Gülşah; Izumiya, Shyuichi
2021
Evolutoids and pedaloids of plane curves. Zbl 1433.53005
Izumiya, Shyuichi; Takeuchi, Nobuko
2019
Geometry of special curves and surfaces in 3-space form. Zbl 1410.53022
Huang, Jie; Chen, Liang; Izumiya, Shyuichi; Pei, Donghe
2019
Developable surfaces along frontal curves on embedded surfaces. Zbl 1423.57049
Honda, Shun&rsquo;ichi; Izumiya, Shyuichi; Takahashi, Masatomo
2019
Evolutes of curves in the Lorentz-Minkowski plane. Zbl 1428.53020
Izumiya, S.; Romero Fuster, M. C.; Takahashi, M.
2018
The theory of graph-like Legendrian unfoldings: equivalence relations. Zbl 1475.58028
Izumiya, Shyuichi
2018
Flat surfaces along cuspidal edges. Zbl 1376.57034
Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko
2017
Normal developable surfaces of surfaces along curves. Zbl 1420.57077
Hananoi, Satoshi; Izumiya, Shyuichi
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
2017
Focal surfaces and evolutes of curves in hyperbolic space. Zbl 1364.53011
Hayashi, Ryota; Izumiya, Shyuichi; Sato, Takami
2017
Generalized Sabban curves in the Euclidean $$n$$-sphere and spherical duality. Zbl 1375.53011
Izumiya, Shyuichi; Nagai, Takayuki
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
2017
Differential geometry from a singularity theory viewpoint. Zbl 1369.53004
Izumiya, Shyuichi; Romero Fuster, Maria del Carmen; Ruas, Maria Aparecida Soares; Tari, Farid
2016
Caustics of world hyper-sheets in the Minkowski space-time. Zbl 1364.58018
Izumiya, Shyuichi
2016
Geometric interpretation of Lagrangian equivalence. Zbl 1376.58015
Izumiya, Shyuichi
2016
Geometry of world sheets in Lorentz-Minkowski space. Zbl 1373.53023
Izumiya, Shyuichi
2016
Flat approximations of surfaces along curves. Zbl 1330.57045
Izumiya, Shyuichi; Otani, Saki
2015
Spherical Darboux images of curves on surfaces. Zbl 1327.53005
Hananoi, Satoshi; Ito, Noriaki; Izumiya, Shyuichi
2015
Lightlike hypersurfaces along spacelike submanifolds in anti-de Sitter space. Zbl 1331.83013
Izumiya, Shyuichi
2015
The lightlike geometry of marginally trapped surfaces in Minkowski space-time. Zbl 1319.53012
Honda, Atsufumi; Izumiya, Shyuichi
2015
Slant geometry on spacelike submanifolds of codimension two in Lorentz-Minkowski space. Zbl 1330.53024
Izumiya, Shyuichi; Yıldırım, Handan
2015
The theory of graph-like Legendrian unfoldings and its applications. Zbl 1314.58022
Izumiya, Shyuichi
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
2015
Anti de Sitter horospherical flat timelike surfaces. Zbl 1305.53022
Chen, Liang; Izumiya, Shyuichi; Pei, Donghe; Saji, Kentaro
2014
Timelike hypersurfaces in anti-de Sitter space from a contact viewpoint. Zbl 1309.53018
Chen, L.; Izumiya, S.; Pei, D.
2014
Total lightcone curvatures of spacelike submanifolds in Lorentz-Minkowski space. Zbl 1291.53068
Izumiya, Shyuichi
2014
Lightlike flat geometry of spacelike submanifolds in Lorentz-Minkowski space. Zbl 1296.53115
Izumiya, Shyuichi; Kasedou, Masaki
2014
Lightlike hypersurfaces along spacelike submanifolds in de Sitter space. Zbl 1310.53050
Izumiya, Shyuichi; Sato, Takami
2014
Lightlike hypersurfaces along spacelike submanifolds in Minkowski space-time. Zbl 1281.53023
Izumiya, Shyuichi; Sato, Takami
2013
Lightcone dualities for curves in the sphere. Zbl 1262.53015
Izumiya, Shyuichi; Jiang, Yang; Pei, Donghe
2013
Apparent contours in Minkowski 3-space and first order ordinary differential equations. Zbl 1268.53010
Izumiya, Shyuichi; Tari, Farid
2013
Lightcone dualities for curves in the lightcone unit 3-sphere. Zbl 1284.53022
Izumiya, Shyuichi; Jiang, Yang; Sato, Takami
2013
Duals of curves in hyperbolic space. Zbl 1291.53014
Hayashi, Ryota; Izumiya, Shyuichi; Sato, Takami
2013
Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space. Zbl 1235.53021
Izumiya, Shyuichi; Yıldırım, Handan
2012
Slant geometry of spacelike hypersurfaces in hyperbolic space and de Sitter space. Zbl 1247.53021
Asayama, Mikuri; Izumiya, Shyuichi; Tamaoki, Aiko; Yıldırım, Handan
2012
Pedal foliations and Gauss maps of hypersurfaces in Euclidean space. Zbl 1292.57025
Izumiya, Shyuichi; Takahashi, Masatomo
2012
On caustics of submanifolds and canal hypersurfaces in Euclidean space. Zbl 1245.57034
Izumiya, Shyuichi; Takahashi, Masatomo
2012
Great circular surfaces in the three-sphere. Zbl 1218.53054
Izumiya, Shyuichi; Nagai, Takayuki; Saji, Kentaro
2011
Slant geometry of spacelike hypersurfaces in the lightcone. Zbl 1225.53020
Izumiya, Shyuichi; Yildirim, Handan
2011
Horo-tight spheres in hyperbolic space. Zbl 1235.53012
Buosi, Marcelo; Izumiya, Shyuichi; Ruas, Maria Aparecida Soares
2011
Horospherical flat surfaces in hyperbolic 3-space. Zbl 1205.53065
Izumiya, Shyuichi; Saji, Kentaro; Takahashi, Masatomo
2010
The mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space and “flat” spacelike surfaces. Zbl 1292.53009
Izumiya, Shyuichi; Saji, Kentaro
2010
Self-adjoint operators on surfaces with singular metrics. Zbl 1203.53020
Izumiya, S.; Tari, F.
2010
Total absolute horospherical curvature of submanifolds in hyperbolic space. Zbl 1201.53069
Buosi, Marcelo; Izumiya, Shyuichi; Ruas, Maria Aparecida Soares
2010
Singularities of Anti de Sitter torus Gauss maps. Zbl 1193.53016
Chen, Liang; Izumiya, Shyuichi
2010
Lightlike developables in Minkowski 3-space. Zbl 1198.53010
Chino, Sachiko; Izumiya, Shyuichi
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
2010
Folding maps on spacelike and timelike surfaces and duality. Zbl 1201.53020
Izumiya, Shyuichi; Takahashi, Masatomo; Tari, Farid
2010
Projections of timelike surfaces in the de Sitter space. Zbl 1227.53012
Izumiya, Shyuichi; Tari, Farid
2010
Projections of surfaces in the hyperbolic space along horocycles. Zbl 1193.53129
Izumiya, Shyuichi; Tari, Farid
2010
Legendrian dualities and spacelike hypersurfaces in the lightcone. Zbl 1188.53055
Izumiya, Shyuichi
2009
A mandala of Legendrian dualities for pseudo-spheres in semi-Euclidean space. Zbl 1169.53308
Chen, Liang; Izumiya, Shyuichi
2009
Flat lightlike hypersurfaces in Lorentz-Minkowski 4-space. Zbl 1188.53056
Izumiya, Shyuichi; del Carmen Romero Fuster, María; Saji, Kentaro
2009
Horospherical geometry in the hyperbolic space. Zbl 1181.53011
Izumiya, Shyuichi
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
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.
2008
Lightlike surfaces of spacelike curves in de Sitter 3-space. Zbl 1136.53008
Fusho, Takesi; Izumiya, Shyuichi
2008
Caustics and wave front propagations: applications to differential geometry. Zbl 1156.57025
Izumiya, Shyuichi; Takahashi, Masatomo
2008
Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes. Zbl 1170.53011
Izumiya, Shyuichi; Tari, Farid
2008
Spacelike parallels and evolutes in Minkowski pseudo-spheres. Zbl 1121.53036
Izumiya, Shyuichi; Takahashi, Masatomo
2007
The lightlike flat geometry on spacelike submanifolds of codimension two in Minkowski space. Zbl 1141.53066
Izumiya, Shyuichi; Romero Fuster, María del Carmen
2007
Time-like hypersurfaces in de Sitter space and Legendrian singularities. Zbl 1177.53066
Izumiya, Shyuichi
2007
Circular surfaces. Zbl 1123.53005
Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko
2007
Differential geometry from the view point of Lagrangian or Legendrian singularity theory. Zbl 1144.53010
Izumiya, Shyuichi
2007
The horospherical Gauss-Bonnet type theorem in hyperbolic space. Zbl 1111.53042
Izumiya, Shyuichi; Romero Fuster, María del Carmen
2006
Singularities of lightlike hypersurfaces in Minkowski four-space. Zbl 1111.53018
Izumiya, Shyuichi; Kossowski, Marek; Pei, Donghe; Romero Fuster, M. Carmen
2006
The horospherical geometry of surfaces in hyperbolic 4-space. Zbl 1181.53045
Izumiya, Shyuichi; Pei, Donghe; Romero Fuster, María del Carmen
2006
Global properties of space-like curves in Minkowski 3-space. Zbl 1110.53014
Izumiya, Shyuichi; Kikuchi, Makoto; Takahashi, Masatomo
2006
The horospherical geometry of submanifolds in hyperbolic space. Zbl 1113.53011
Izumiya, S.; Pei, D.; Romero-Fuster, M. C.; Takahashi, M.
2005
New special curves and developable surfaces. Zbl 1081.53003
Izumiya, Shyuichi; Takeuchi, Nobuko
2004
Evolutes of hyperbolic plane curves. Zbl 1065.53022
Izumiya, Shyuichi; Pei, Dong He; Sano, Takashi; Torii, Erika
2004
Singularities of evolutes of hypersurfaces in hyperbolic space. Zbl 1074.53045
Izumiya, Shyuichi; Pei, Donghe; Takahashi, Masatomo
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
2004
Umbilicity of space-like submanifolds of Minkowski space. Zbl 1065.53049
Izumiya, Shyuichi; Pei, Donghe; Romero-Fuster, María del Carmen
2004
Curves and surfaces in hyperbolic space. Zbl 1063.53016
Izumiya, Shyuichi; Pei, Donghe; Takahashi, Masatomo
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.
2004
Singularities of hyperbolic Gauss maps. Zbl 1041.58017
Izumiya, Shyuichi; Pei, Donghe; Sano, Takasi
2003
Special curves and ruled surfaces. Zbl 1035.53024
Izumiya, Shyuichi; Takeuchi, Nobuko
2003
Singularities of line congruences. Zbl 1053.53007
Izumiya, Shyuichi; Saji, Kentaro; Takeuchi, Nobuko
2003
Generic properties of helices and Bertrand curves. Zbl 1031.53007
Izumiya, Shyuichi; Takeuchi, Nobuko
2002
Singularities of ruled surfaces in $$\mathbb R^3$$. Zbl 1098.58504
Izumiya, Shyuichi; Takeuchi, Nobuko
2001
Multivalued solutions to the eikonal equation in stratified media. Zbl 1027.35137
Izumiya, S.; Kossioris, G. T.; Makrakis, G. N.
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
2000
The rectifying developable and the spherical Darboux image of a space curve. Zbl 0973.58023
Izumiya, Shyuichi; Katsumi, Haruyo; Yamasaki, Takako
1999
A time-like surface in Minkowski 3-space which contains light-like lines. Zbl 0916.53012
Izumiya, Shyuichi; Takiyama, Akihiro
1999
Generic affine differential geometry of plane curves. Zbl 0965.53013
Izumiya, Shyuichi; Sano, Takasi
1998
Generic affine differential geometry of space curves. Zbl 0916.53005
Izumiya, Shyuichi; Sano, Takasi
1998
Characteristic vector fields for first order partial differential equations. Zbl 0942.35042
Izumiya, Shyuichi
1998
Real analytic and algebraic singularities. Zbl 0882.00014
1998
Geometric singularities for solutions of single conservation laws. Zbl 0907.35082
Izumiya, Shyuichi; Kossioris, Georgios T.
1997
A time-like surface in Minkowski 3-space which contains pseudocircles. Zbl 0876.53013
Izumiya, Shyuichi; Takiyama, Akihiro
1997
Bifurcations of shock waves for viscosity solutions of Hamilton-Jacobi equations of one space variable. Zbl 0908.35078
Izumiya, Shyuichi; Kossioris, Georgios T.
1997
Realization theorems of geometric singularities for Hamilton-Jacobi equations. Zbl 0921.35004
Izumiya, Shyuichi; Kossioris, Georgios T.
1997
Overdetermined systems of first order partial differential equations with singular solution. Zbl 0882.35030
Izumiya, Shyuichi; Li, Bing
1997
Singularities of solution surfaces for quasilinear first-order partial differential equations. Zbl 0885.35003
Izumiya, Shyuichi; Sun, Wei-Zhi
1997
Formation of singularities for viscosity solutions of Hamilton-Jacobi equations. Zbl 0877.35077
Izumiya, Shyuichi; Kossioris, Georgios T.
1996
Completely integrable holonomic systems of first-order differential equations. Zbl 0843.58067
Izumiya, Shyuichi
1995
On topologically stable singular surfaces in a 3-manifold. Zbl 0840.57010
Izumiya, Shyuichi; Marar, Washington L.
1995
Holonomic systems of Clairaut type. Zbl 0832.35028
Izumiya, Shyuichi; Kurokawa, Yasuhiro
1995
Semi-local classification of geometric singularities for Hamilton-Jacobi equations. Zbl 0837.35091
Izumiya, Shyuichi; Kossioris, Georgios T.
1995
...and 25 more Documents
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### 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
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### 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
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### 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)