# zbMATH — the first resource for mathematics

## Chen, Bang-Yen

Compute Distance To:
 Author ID: chen.bang-yen Published as: Chen, Bang-Yen; Chen, Bang-yen; Chen, B. Y.; Chen, B.-Y.; Chen, B.-y.; Chen, Bang Yen; Chen, Bang-Yeng External Links: IdRef · MGP · Wikidata · ResearchGate · GND
 Documents Indexed: 535 Publications since 1967, including 14 Books Reviewing Activity: 326 Reviews Biographic References: 5 Publications
all top 5

#### Co-Authors

 290 single-authored 31 Dillen, Franki 29 Verstraelen, Leopold C. A. 25 Vrancken, Luc 20 Yano, Kentaro 16 Ogiue, Koichi 14 Deshmukh, Sharief 10 Morvan, Jean-Marie 10 Van der Veken, Joeri 10 Vanhecke, Lieven 9 Garay, Oscar Jesus 9 Lue, Huei-Shyong 8 Barros, Manuel 8 Houh, Chorng-Shi 8 Verheyen, Paul 6 Wei, Shihshu Walter 5 Deprez, Johan 5 Ludden, Gerald D. 5 Nagano, Tadashi 4 Al-Solamy, Falleh Rijaullah 4 Blair, David E. 4 Li, Shijie 4 Mihai, Ion 4 Siraj-Uddin 3 Ishikawa, Susumu 3 Kuan, Wei-Eihn 3 Maeda, Sadahiro 3 Mihai, Adela 3 Munteanu, Marian-Ioan 3 Piccinni, Paolo 3 Song, Hongzao 3 Tazawa, Yoshihiko 3 Vîlcu, Gabriel Eduard 2 Alghanemi, Azeb 2 Alodan, Haila 2 Baikoussis, Christos 2 Fastenakels, Johan 2 Kim, Youngho 2 Nore, Thérèse 2 Petrovic, Mira 2 Turki, Nasser Bin 2 Yamaguchi, Seiichi 1 Al-Jedani, Awatif 1 Alegre, Pablo 1 Alshammari, Sana Hamoud 1 Arslan, Kadri 1 Borrelli, Vincent 1 Carriazo, Alfonso 1 Castro, Ildefonso 1 Chen, Pi-Mei 1 Choi, Miekyung 1 Decu, Simona 1 Defever, Filip 1 Fu, Yu 1 Jiang, Sheng 1 Kim, Dongsoo S. 1 Kocaman, E. S. 1 Martín-Molina, Verónica 1 Montiel, Sebastián 1 Murathan, Cengizhan 1 Oh, Yun Myung 1 Okumura, Masafumi 1 Prieto-Martín, Alicia 1 Suceavă, Bogdan Dragos 1 Teng, Th. 1 Teng, Tsing-Houa 1 Wang, Xianfeng 1 Wu, Baoqiang 1 Yang, Dan 1 Yang, Jie 1 Yildirim, Handan 1 Zhou, Zhengfang
all top 5

#### Serials

 19 Proceedings of the American Mathematical Society 17 Tamkang Journal of Mathematics 17 Soochow Journal of Mathematics 16 International Electronic Journal of Geometry 12 Bulletin of the Institute of Mathematics. Academia Sinica 12 Taiwanese Journal of Mathematics 11 Kodai Mathematical Seminar Reports 10 Archiv der Mathematik 10 Results in Mathematics 10 Comptes Rendus de l’Académie des Sciences. Série I 9 Bulletin of the Australian Mathematical Society 9 Geometriae Dedicata 9 Journal of Differential Geometry 9 Kragujevac Journal of Mathematics 8 Houston Journal of Mathematics 8 Journal of Mathematical Analysis and Applications 8 Journal of Geometry and Physics 8 Kodai Mathematical Journal 8 Tohoku Mathematical Journal. Second Series 7 Journal of Geometry 7 Journal of the Mathematical Society of Japan 7 Monatshefte für Mathematik 7 Bulletin of the American Mathematical Society 6 Beiträge zur Algebra und Geometrie 6 Glasgow Mathematical Journal 6 Journal of the London Mathematical Society. Second Series 6 Differential Geometry and its Applications 6 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 5 Journal of Mathematical Physics 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Indiana University Mathematics Journal 5 Nagoya Mathematical Journal 5 Proceedings of the Japan Academy. Series A 5 Publicationes Mathematicae 5 Tensor. New Series 5 Annals of Global Analysis and Geometry 4 Israel Journal of Mathematics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Chinese Journal of Mathematics 4 Japanese Journal of Mathematics. New Series 4 Michigan Mathematical Journal 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Tokyo Journal of Mathematics 4 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 4 Bulletin de la Société Matheḿatique de Belgique. Série B 4 Kyushu Journal of Mathematics 4 Turkish Journal of Mathematics 4 Arab Journal of Mathematical Sciences 4 Balkan Journal of Geometry and its Applications (BJGA) 3 American Journal of Mathematics 3 Duke Mathematical Journal 3 Hokkaido Mathematical Journal 3 Journal of the Korean Mathematical Society 3 Mathematische Annalen 3 Mathematical Journal of Okayama University 3 Nanta Mathematica 3 Transactions of the American Mathematical Society 3 Tsukuba Journal of Mathematics 3 Comptes Rendus Mathématiques de l’Académie des Sciences 3 Bulletin of the Korean Mathematical Society 3 Acta Mathematica Hungarica 3 International Journal of Mathematics 3 Journal of the Australian Mathematical Society. Series A 3 Algebras, Groups and Geometries 3 Bollettino della Unione Matematica Italiana. Series V. A 3 Soochow Journal of Mathematics and Natural Sciences 2 Rocky Mountain Journal of Mathematics 2 Annales Polonici Mathematici 2 Colloquium Mathematicum 2 International Journal of Mathematics and Mathematical Sciences 2 Osaka Journal of Mathematics 2 The Quarterly Journal of Mathematics. Oxford Second Series 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the Belgian Mathematical Society - Simon Stevin 2 Rendiconti del Seminario Matematico di Messina. Serie II 2 Acta Mathematica Sinica. English Series 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Central European Journal of Mathematics 2 International Journal of Geometric Methods in Modern Physics 2 Mediterranean Journal of Mathematics 2 Journal of Geometry and Symmetry in Physics 2 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 2 Series in Pure Mathematics 2 Journal of Advanced Mathematical Studies 2 Bulletin of the Transilvania University of Braşov. Series III. Mathematics, Informatics, Physics 1 American Mathematical Monthly 1 Classical and Quantum Gravity 1 Computer Methods in Applied Mechanics and Engineering 1 General Relativity and Gravitation 1 Applied Mathematics and Computation 1 Archivum Mathematicum 1 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali 1 Canadian Journal of Mathematics 1 The Formosan Science 1 Journal für die Reine und Angewandte Mathematik 1 Kyungpook Mathematical Journal 1 Mathematische Nachrichten 1 Memoirs of the Faculty of Science. Series A. Mathematics 1 Publications de l’Institut Mathématique. Nouvelle Série ...and 17 more Serials
all top 5

#### Fields

 513 Differential geometry (53-XX) 36 Global analysis, analysis on manifolds (58-XX) 19 Several complex variables and analytic spaces (32-XX) 15 Algebraic geometry (14-XX) 13 Relativity and gravitational theory (83-XX) 11 Manifolds and cell complexes (57-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Partial differential equations (35-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Convex and discrete geometry (52-XX) 4 Quantum theory (81-XX) 3 History and biography (01-XX) 3 Algebraic topology (55-XX) 3 Operations research, mathematical programming (90-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

424 Publications have been cited 4,395 times in 1,786 Documents Cited by Year
Geometry of submanifolds. Zbl 0262.53036
Chen, Bang-yen
1973
Total mean curvature and submanifolds of finite type. Zbl 0537.53049
Chen, Bang-Yen
1984
Some pinching and classification theorems for minimal submanifolds. Zbl 0811.53060
Chen, Bang-Yen
1993
Some open problems and conjectures on submanifolds of finite type. Zbl 0749.53037
Chen, Bang-Yen
1991
On totally real submanifolds. Zbl 0286.53019
Chen, Bang-Yen; Ogiue, Koichi
1974
Geometry of slant submanifolds. Zbl 0716.53006
Chen, Bang-Yen
1990
Geometry of warped product CR-submanifolds in Kaehler manifolds. Zbl 0996.53044
Chen, Bang-Yen
2001
Pseudo-Riemannian geometry, $$\delta$$-invariants and applications. Zbl 1245.53001
Chen, Bang-Yen
2011
A report on submanifolds of finite type. Zbl 0867.53001
Chen, Bang-Yen
1996
Slant immersions. Zbl 0677.53060
Chen, Bang-Yen
1990
When does the position vector of a space curve always lie in its rectifying plane? Zbl 1035.53003
Chen, Bang-Yen
2003
Totally geodesic submanifolds of symmetric spaces. II. Zbl 0384.53024
1978
Biharmonic pseudo-Riemannian submanifolds in pseudo-Euclidean spaces. Zbl 0892.53012
Chen, Bang-Yeng; Ishikawa, Susumu
1998
Geometry of submanifolds and its applications. Zbl 0474.53050
Chen, Bang-yen
1981
Geometry of warped product CR-submanifolds in Kaehler manifolds. II. Zbl 0996.53045
Chen, Bang-Yen
2001
Differential geometry of geodesic spheres. Zbl 0503.53013
Chen, Bang-Yen; Vanhecke, Lieven
1981
Biharmonic surfaces in pseudo-Euclidean spaces. Zbl 0757.53009
Chen, Bang-Yen; Ishikawa, Susumu
1991
Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions. Zbl 0962.53015
Chen, Bang-Yen
1999
Some new obstructions to minimal and Lagrangian isometric immersions. Zbl 1026.53009
Chen, Bang-Yen
2000
Some conformal invariants of submanifolds and their applications. Zbl 0321.53042
Chen, Bang-yen
1974
Hypersurfaces of a conformally flat space. Zbl 0257.53027
Chen, Bang-Yen; Yano, Kentaro
1972
Mean curvature and shape operator of isometric immersions in real-space-forms. Zbl 0866.53038
Chen, Bang-Yen
1996
On CR-submanifolds of Hermitian manifolds. Zbl 0453.53018
Blair, David E.; Chen, Bang-Yen
1979
Biharmonic ideal hypersurfaces in Euclidean spaces. Zbl 1260.53017
Chen, Bang-Yen; Munteanu, Marian Ioan
2013
Submanifolds with finite type Gauss map. Zbl 0672.53044
Chen, Bang-Yen; Piccinni, Paolo
1987
CR-submanifolds of a Kähler manifold. I. Zbl 0431.53048
Chen, Bang-yen
1981
Riemannian geometry of Lagrangian submanifolds. Zbl 1002.53053
Chen, Bang-Yen
2001
Geometry of warped product submanifolds: a survey. Zbl 1301.53049
Chen, Bang-Yen
2013
A simple characterization of generalized Robertson-Walker spacetimes. Zbl 1308.83159
Chen, Bang-Yen
2014
Totally geodesic submanifolds of symmetric spaces. I. Zbl 0368.53038
1977
Rectifying curves as centrodes and extremal curves. Zbl 1082.53012
Chen, Bang-Yen; Dillen, Franki
2005
An exotic totally real minimal immersion of $$S^ 3$$ in $$\mathbb{C} P^ 3$$ and its characterisation. Zbl 0855.53011
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
1996
Totally real submanifolds of $$\mathbb{C} P^ n$$ satisfying a basic equality. Zbl 0816.53034
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
1994
Complex extensors and Lagrangian submanifolds in complex Euclidean spaces. Zbl 0877.53041
Chen, Bang-Yen
1997
On isometric minimal immersions from warped products into real space forms. Zbl 1022.53022
Chen, Bang-Yen
2002
Interaction of Legendre curves and Lagrangian submanifolds. Zbl 0884.53014
Chen, Bang-Yen
1997
Total mean curvature and submanifolds of finite type. 2nd ed. Zbl 1326.53004
Chen, Bang-Yen
2015
A Riemannian geometric invariant and its applications to a problem of Borel and Serre. Zbl 0656.53049
1988
Warped product bi-slant immersions in Kaehler manifolds. Zbl 1369.53039
Uddin, Siraj; Chen, Bang-Yen; Al-Solamy, Falleh R.
2017
Null 2-type surfaces in $$E^ 3$$ are circular cylinders. Zbl 0657.53002
Chen, Bang-Yen
1988
Classification of marginally trapped Lorentzian flat surfaces in $$\mathbb E^4_2$$ and its application to biharmonic surfaces. Zbl 1160.53007
Chen, Bang-Yen
2008
Two theorems on Kähler manifolds. Zbl 0295.53028
Chen, Bang-yen; Ogiue, Koichi
1974
On the total curvature of immersed manifolds. I: An inequality of Fenchel-Borsuk-Willmore. Zbl 0209.52803
Chen, B.-y.
1971
Minimal submanifolds of a higher dimensional sphere. Zbl 0218.53073
Yano, Kentaro; Chen, Bang-Yen
1971
Differential geometry of warped product manifolds and submanifolds. Zbl 1390.53001
Chen, Bang-Yen
2017
Pointwise slant submanifolds in almost Hermitian manifolds. Zbl 1269.53059
Chen, Bang-Yen; Garay, Oscar J.
2012
Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms. Zbl 1182.53018
Chen, Bang-Yen; Van der Veken, Joeri
2009
Surfaces of revolution with pointwise 1-type Gauss map. Zbl 1082.53004
Chen, Bang-Yen; Choi, Miekyung; Kim, Young Ho
2005
On the concurrent vector fields of immersed manifolds. Zbl 0221.53049
Yano, Kentaro; Chen, Bang-Yen
1971
Marginally trapped surfaces in Lorentzian space forms with positive relative nullity. Zbl 1141.53065
Chen, Bang-Yen; Van der Veken, Joeri
2007
Curvature inequalities for Lagrangian submanifolds: the final solution. Zbl 1288.53014
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc
2013
Some results on concircular vector fields and their applications to Ricci solitons. Zbl 1343.53038
Chen, Bang-Yen
2015
Lagrangian isometric immersions of a real-space-form $$M^n(c)$$ into a complex-space-form $$\widetilde M^n(4c)$$. Zbl 0929.53008
Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L.
1998
Some characterizations of complex space forms in terms of Chern classes. Zbl 0315.53034
Chen, Bang-Yen; Ogiue, Koichi
1975
Integral formulas for submanifolds and their applications. Zbl 0203.53802
Chen, B.-y.; Yano, K.
1971
Special conformally flat spaces and canal hypersurfaces. Zbl 0266.53043
Chen, Bang-yen; Yano, Kentaro
1973
Some open problems and conjectures on submanifolds of finite type: recent development. Zbl 1287.53044
Chen, Bang-Yen
2014
Isometric, holomorphic and symplectic reflections. Zbl 0673.53035
Chen, B. Y.; Vanhecke, L.
1989
Ruled surfaces and tubes with finite type Gauss map. Zbl 0798.53055
Baikoussis, Christos; Chen, Bang-yen; Verstraelen, Leopold
1993
Geometry of warped products as Riemannian submanifolds and related problems. Zbl 1012.53051
Chen, Bang-Yen
2002
Riemannian submanifolds. Zbl 0968.53002
Chen, Bang-Yen
2000
Surfaces with parallel normalized mean curvature vector. Zbl 0435.53040
Chen, Bang-Yen
1980
Surfaces of finite type in Euclidean 3-space. Zbl 0628.53011
Chen, Bang-Yen
1987
Ruled surface of finite type. Zbl 0704.53003
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
1990
A general inequality for submanifolds in complex-space-forms and its applications. Zbl 0871.53043
Chen, Bang-yen
1996
Differential geometry of real submanifolds in a Kaehler manifold. Zbl 0451.53041
Chen, Bang-Yen
1981
Quaternion CR-submanifolds of quaternion manifolds. Zbl 0481.53046
Barros, M.; Chen, B. Y.; Urbano, F.
1981
Differential geometry of submanifolds with planar normal sections. Zbl 0486.53004
Chen, Bang-Yen
1982
Finite type submanifolds in pseudo-Euclidean spaces and applications. Zbl 0586.53022
Chen, Bang-Yen
1985
CR-warped products in complex projective spaces with compact holomorphic factor. Zbl 1063.53056
Chen, Bang-Yen
2004
A Riemannian invariant and its applications to submanifold theory. Zbl 0834.53045
Chen, Bang-Yen
1995
Stationary 2-type surfaces in a hypersphere. Zbl 0613.53023
Barros, Manuel; Chen, Bang-Yen
1987
Some topological obstructions to Bochner-Kähler metric and their applications. Zbl 0354.53049
Chen, Bang-yen
1978
On spectral decomposition of immersions of finite type. Zbl 0771.53033
Chen, Bang-Yen; Petrovic, Mira
1991
Scalar curvature, inequality and submanifold. Zbl 0256.53041
Chen, Bang-Yen; Okumura, Masafumi
1973
Submanifolds with geodesic normal sections. Zbl 0536.53053
Chen, Bang-Yen; Verheyen, Paul
1984
Riemannian submersions, $$\delta$$-invariants, and optimal inequality. Zbl 1253.53057
Alegre, Pablo; Chen, Bang-Yen; Munteanu, Marian Ioan
2012
Strings of Riemannian invariants, inequalities, ideal immersions and their applications. Zbl 1009.53041
Chen, Bang-Yen
1998
Ideal Lagrangian immersions in complex space forms. Zbl 0980.53096
Chen, Bang-Yen
2000
Warped product pointwise bi-slant submanifolds of Kaehler manifolds. Zbl 1413.53101
Chen, Bang-Yen; Uddin, Siraj
2018
On the surface with parallel mean curvature vector. Zbl 0252.53021
Chen, Bang-Yen
1973
Totally real submanifolds of a quaternion projective space. Zbl 0413.53031
Chen, Bang-yen; Houh, Chorng-shi
1979
Optimal general inequalities for Lagrangian submanifolds in complex space forms. Zbl 1217.53082
Chen, Bang-Yen; Dillen, Franki
2011
Finite type submanifolds and generalizations. Zbl 0586.53023
Chen, Bang-yen
1985
The canonical foliations of a locally conformal Kähler manifold. Zbl 0587.53059
Chen, Bang-Yen; Piccinni, Paolo
1985
Another general inequality for CR-warped products in complex space forms. Zbl 1049.53039
Chen, Bang-Yen
2003
On rectifying curves in Euclidean 3-space. Zbl 1424.53021
Deshmukh, Sharief; Chen, Bang-Yen; Alshammari, Sana Hamoud
2018
Classification of Wintgen ideal surfaces in Euclidean 4-space with equal Gauss and normal curvatures. Zbl 1203.53005
Chen, Bang-Yen
2010
Differential geometry of rectifying submanifolds. Zbl 1375.53008
Chen, Bang-Yen
2016
Ricci solitons and concurrent vector fields. Zbl 1334.53032
Chen, Bang-Yen; Deshmukh, Sharief
2015
Slant submanifolds in complex Euclidean spaces. Zbl 0735.53040
Chen, Bang-Yen; Tazawa, Yoshihiko
1991
Slant submanifolds of complex projective and complex hyperbolic spaces. Zbl 0979.53058
Chen, Bang-Yen; Tazawa, Yoshihiko
2000
Lagrangian minimal isometric immersions of a Lorentzian real space form into a Lorentzian complex space form. Zbl 1013.53039
Chen, Bang-Yen; Vrancken, Luc
2002
Characterizing a class of totally real submanifolds of $$S^ 6$$ by their sectional curvatures. Zbl 0829.53049
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
1995
Lagrangian surfaces in complex Euclidean plane via spherical and hyperbolic curves. Zbl 1193.53172
Castro, Ildefonso; Chen, Bang-Yen
2006
Submanifolds with planar normal sections. Zbl 0485.53004
Chen, Bang-Yen
1981
CR-submanifolds of a Kähler manifold. II. Zbl 0485.53051
Chen, Bang-Yen
1981
Spatial and Lorentzian surfaces in Robertson-Walker space times. Zbl 1144.81324
Chen, Bang-Yen; Van der Veken, Joeri
2007
Classification of marginally trapped surfaces with parallel mean curvature vector in Lorentzian space forms. Zbl 1213.53026
Chen, Bang-Yen; Van der Veken, Joeri
2010
$$\delta$$-invariants, inequalities of submanifolds and their applications. Zbl 1181.53001
Chen, Bang-Yen
2008
Lagrangian submanifolds in complex space forms satisfying equality in the optimal inequality involving $$\delta (2, \ldots, 2)$$. Zbl 07341122
Chen, Bang-Yen; Vrancken, Luc; Wang, Xianfeng
2021
Biharmonic submanifolds and biharmonic maps in Riemannian geometry. Zbl 1455.53002
Ou, Ye-Lin; Chen, Bang-Yen
2020
A generalized Wintgen inequality for quaternionic CR-submanifolds. Zbl 1439.53054
Alodan, Haila; Chen, Bang-Yen; Deshmukh, Sharief; Vîlcu, Gabriel-Eduard
2020
A Chen first inequality for statistical submanifolds in Hessian manifolds of constant Hessian curvature. Zbl 1430.53061
Chen, Bang-Yen; Mihai, Adela; Mihai, Ion
2019
Riemannian submanifolds with concircular canonical field. Zbl 1433.53084
Chen, Bang-Yen; Wei, Shihshu Walter
2019
Sharp growth estimates for warping functions in multiply warped product manifolds. Zbl 1427.53046
Chen, Bang-Yen; Wei, Shihshu Walter
2019
On some geometric properties of quasi-product production models. Zbl 07056516
Alodan, Haila; Chen, Bang-Yen; Deshmukh, Sharief; Vîlcu, Gabriel-Eduard
2019
A polymorphic element formulation towards multiscale modelling of composite structures. Zbl 1440.74411
Kocaman, E. S.; Chen, B. Y.; Pinho, S. T.
2019
Warped product pointwise bi-slant submanifolds of Kaehler manifolds. Zbl 1413.53101
Chen, Bang-Yen; Uddin, Siraj
2018
On rectifying curves in Euclidean 3-space. Zbl 1424.53021
Deshmukh, Sharief; Chen, Bang-Yen; Alshammari, Sana Hamoud
2018
Yamabe and quasi-Yamabe solitons on Euclidean submanifolds. Zbl 1425.53050
Chen, Bang-Yen; Deshmukh, Sharief
2018
A note on Yamabe solitons. Zbl 1408.53051
Deshmukh, S.; Chen, B. Y.
2018
Classification of $$\delta(2,n-2)$$-ideal Lagrangian submanifolds in $$n$$-dimensional complex space forms. Zbl 1381.53154
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc
2018
Two-numbers and their applications – a survey. Zbl 1411.53033
Chen, Bang-Yen
2018
Euclidean submanifolds with conformal canonical vector field. Zbl 1420.53012
Chen, Bang-Yen; Deshmukh, Sharief
2018
A link between harmonicity of 2-distance functions and incompressibility of canonical vector fields. Zbl 1410.53059
Chen, Bang-Yen
2018
A differential equation for Frenet curves in Euclidean 3-space and its applications. Zbl 1424.53022
Deshmukh, Sharief; Chen, Bang-Yen; Turki, Nasser Bin
2018
Natural mates of Frenet curves in Euclidean 3-space. Zbl 1424.53020
Deshmukh, Sharief; Chen, Bang-Yen; Alghanemi, Azeb
2018
Warped product bi-slant immersions in Kaehler manifolds. Zbl 1369.53039
Uddin, Siraj; Chen, Bang-Yen; Al-Solamy, Falleh R.
2017
Differential geometry of warped product manifolds and submanifolds. Zbl 1390.53001
Chen, Bang-Yen
2017
Rectifying curves and geodesics on a cone in the Euclidean 3-space. Zbl 1371.53002
Chen, Bang-Yen
2017
Topics in differential geometry associated with position vector fields on Euclidean submanifolds. Zbl 1362.53005
Chen, Bang-Yen
2017
Addendum to: “Differential geometry of rectifying submanifolds”. Zbl 06726865
Chen, Bang-Yen
2017
A link between torse-forming vector fields and rotational hypersurfaces. Zbl 1380.53012
Chen, Bang-Yen; Verstraelen, Leopold
2017
Classification of rectifying space-like submanifolds in pseudo-Euclidean spaces. Zbl 1442.53008
Chen, Bang-Yen; Oh, Yun Myung
2017
Euclidean submanifolds via tangential components of their position vector fields. Zbl 1391.37044
Chen, Bang-Yen
2017
Covering maps and ideal embeddings of compact homogeneous spaces. Zbl 1391.53063
Chen, Bang-Yen
2017
Classification of torqued vector fields and its applications to Ricci solitons. Zbl 07384044
Chen, Bang-Yen
2017
Differential geometry of rectifying submanifolds. Zbl 1375.53008
Chen, Bang-Yen
2016
Concircular vector fields and pseudo-Kaehler manifolds. Zbl 06750243
Chen, Bang-Yen
2016
A survey on Ricci solitons on Riemannian submanifolds. Zbl 1360.53048
Chen, Bang-Yen
2016
CR-warped submanifolds in Kaehler manifolds. Zbl 1351.32064
Chen, Bang-Yen
2016
CR-submanifolds and $$\delta$$-invariants. Zbl 1351.32065
Chen, Bang-Yen
2016
Total mean curvature and submanifolds of finite type. 2nd ed. Zbl 1326.53004
Chen, Bang-Yen
2015
Some results on concircular vector fields and their applications to Ricci solitons. Zbl 1343.53038
Chen, Bang-Yen
2015
Ricci solitons and concurrent vector fields. Zbl 1334.53032
Chen, Bang-Yen; Deshmukh, Sharief
2015
$$\delta(3)$$-ideal null 2-type hypersurfaces in Euclidean spaces. Zbl 1327.53008
Chen, Bang-Yen; Fu, Yu
2015
Classification of ideal submanifolds of real space forms with type number $$\leq 2$$. Zbl 1326.53078
Chen, Bang-Yen; Yıldırım, Handan
2015
Geometric and topological obstructions to various immersions in submanifold theory and some related open problems. Zbl 06749410
Chen, Bang-Yen
2015
Einstein manifolds as affine hypersurfaces. Zbl 1315.53042
Chen, Bang-Yen
2015
A simple characterization of generalized Robertson-Walker spacetimes. Zbl 1308.83159
Chen, Bang-Yen
2014
Some open problems and conjectures on submanifolds of finite type: recent development. Zbl 1287.53044
Chen, Bang-Yen
2014
Geometry of compact shrinking Ricci solitons. Zbl 1316.53052
Chen, Bang-Yen; Deshmukh, Sharief
2014
Solutions to homogeneous Monge-Ampère equations of homothetic functions and their applications to production models in economics. Zbl 1442.35464
Chen, Bang-Yen
2014
Two optimal inequalities for anti-holomorphic submanifolds and their applications. Zbl 1357.53055
Al-Solamy, Falleh R.; Chen, Bang-Yen; Deshmukh, Sharief
2014
Notes on isotropic geometry of production models. Zbl 1461.91165
Chen, Bang-Yen; Decu, Simona; Verstraelen, Leopold
2014
Classification of Ricci solitons on Euclidean hypersurfaces. Zbl 1310.53041
Chen, Bang-Yen; Deshmukh, Sharief
2014
Ricci solitons on Riemannian submanifolds. Zbl 1333.53054
Chen, Bang-Yen
2014
Biharmonic ideal hypersurfaces in Euclidean spaces. Zbl 1260.53017
Chen, Bang-Yen; Munteanu, Marian Ioan
2013
Geometry of warped product submanifolds: a survey. Zbl 1301.53049
Chen, Bang-Yen
2013
Curvature inequalities for Lagrangian submanifolds: the final solution. Zbl 1288.53014
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc
2013
Recent developments of biharmonic conjecture and modified biharmonic conjectures. Zbl 1300.53013
Chen, Bang-Yen
2013
A tour through $$\delta$$-invariants: from Nash’s embedding theorem to ideal immersions, best ways of living and beyond. Zbl 1340.53001
Chen, Bang-Yen
2013
Geometric classifications of homogeneous production functions. Zbl 1334.91043
Chen, Bang-Yen; Vîlcu, Gabriel Eduard
2013
On ideal hypersurfaces of Euclidean 4-space. Zbl 1280.53052
Chen, Bang-Yen
2013
Optimal inequalities, contact $$\delta$$-invariants and their applications. Zbl 1279.53048
Chen, Bang-Yen; Martin-Molina, Veronica
2013
Lagrangian submanifolds with prescribed second fundamental form. Zbl 1303.53096
Chen, Bang-Yen; Van der Veken, Joeri; Vrancken, Luc
2013
The 2-ranks of connected compact Lie groups. Zbl 1294.22006
Chen, Bang-Yen
2013
Classification of spherical Lagrangian submanifolds in complex Euclidean spaces. Zbl 1308.53120
Chen, Bang-Yen
2013
Geometry of position function of totally real submanifolds in complex Euclidean spaces. Zbl 06451380
Chen, Bang-Yen
2013
Pointwise slant submanifolds in almost Hermitian manifolds. Zbl 1269.53059
Chen, Bang-Yen; Garay, Oscar J.
2012
Riemannian submersions, $$\delta$$-invariants, and optimal inequality. Zbl 1253.53057
Alegre, Pablo; Chen, Bang-Yen; Munteanu, Marian Ioan
2012
On some geometric properties of quasi-sum production models. Zbl 1243.39019
Chen, Bang-Yen
2012
$$\delta (2)$$-ideal null 2-type hypersurfaces of Euclidean space are spherical cylinders. Zbl 1247.53067
Chen, Bang-Yen; Garay, Oscar J.
2012
An optimal inequality for CR-warped products in complex space forms involving CR $$\delta$$-invariant. Zbl 1244.53059
Chen, Bang-Yen
2012
Classification of homothetic functions with constant elasticity of substitution and its geometric applications. Zbl 1308.90060
Chen, Bang-Yen
2012
Classification of $$h$$-homogeneous production functions with constant elasticity of substitution. Zbl 1260.91161
Chen, Bang-Yen
2012
A note on homogeneous production models. Zbl 1299.91088
Chen, Bang-Yen
2012
Geometry of quasi-sum production functions with constant elasticity of substitution property. Zbl 1273.90072
Chen, Bang-Yen
2012
Classification of Lagrangian submanifolds in complex space forms satisfying a basic equality involving $$\delta(2,2)$$. Zbl 1237.53045
Chen, Bang-Yen; Prieto-Martín, Alicia
2012
Lagrangian submanifolds in complex space forms attaining equality in a basic inequality. Zbl 1246.53108
Chen, Bang-Yen; Dillen, Franki; Vrancken, Luc
2012
Geometry of $$\mathcal P R$$-warped products in para-Kähler manifolds. Zbl 1260.53039
Chen, Bang-Yen; Munteanu, Marian Ioan
2012
An explicit formula of Hessian determinants of composite functions and its applications. Zbl 1289.15015
Chen, Bang-Yen
2012
Wintgen ideal surfaces in four-dimensional neutral indefinite space form $${R^4_2(c)}$$. Zbl 1267.53054
Chen, Bang-Yen
2012
Pseudo-Riemannian geometry, $$\delta$$-invariants and applications. Zbl 1245.53001
Chen, Bang-Yen
2011
Optimal general inequalities for Lagrangian submanifolds in complex space forms. Zbl 1217.53082
Chen, Bang-Yen; Dillen, Franki
2011
Classification of minimal Lorentz surfaces in indefinite space forms with arbitrary codimension and arbitrary index. Zbl 1274.53078
Chen, B.-Y.
2011
On some geometric properties of $$h$$-homogeneous production functions in microeconomics. Zbl 1289.91107
Chen, Bang-Yen
2011
On Wintgen ideal surfaces. Zbl 1266.53007
Chen, Bang-Yen
2011
$$\delta$$-invariants for Lagrangian submanifolds of complex space forms. Zbl 1264.53057
Chen, Bang-Yen; Dillen, Franki
2011
Classification theorems for space-like surfaces in 4-dimensional indefinite space forms with index 2. Zbl 1230.53050
Chen, Bang-Yen; Suceavǎ, Bogdan D.
2011
Lagrangian $$H$$-umbilical submanifolds of para-Kähler manifolds. Zbl 1247.53066
Chen, Bang-Yen
2011
Classification of Wintgen ideal surfaces in Euclidean 4-space with equal Gauss and normal curvatures. Zbl 1203.53005
Chen, Bang-Yen
2010
Classification of marginally trapped surfaces with parallel mean curvature vector in Lorentzian space forms. Zbl 1213.53026
Chen, Bang-Yen; Van der Veken, Joeri
2010
On slant submanifolds of neutral Kähler manifolds. Zbl 1202.53022
Arslan, K.; Carriazo, A.; Chen, B.-Y.; Murathan, C.
2010
Complete classification of parallel spatial surfaces in pseudo-Riemannian space forms with arbitrary index and dimension. Zbl 1205.53061
Chen, Bang-Yen
2010
Submanifolds with parallel mean curvature vector in Riemannian and indefinite space forms. Zbl 1214.53014
Chen, Bang-Yen
2010
Addendum to “classification of marginally trapped Lorentzian flat surfaces in $$\mathbb E_2^4$$ and its application to biharmonic surfaces”. Zbl 1179.53021
Chen, Bang-Yen; Yang, Dan
2010
Complete classification of parallel Lorentzian surfaces in Lorentzian complex space forms. Zbl 1192.53016
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri
2010
Complete classification of Lorentz surfaces with parallel mean curvature vector in arbitrary pseudo-Euclidean space. Zbl 1207.53067
Chen, Bang-Yen
2010
A minimal immersion of the hyperbolic plane into the neutral pseudo-hyperbolic 4-space and its characterization. Zbl 1188.53009
Chen, Bang-Yen
2010
Explicit classification of parallel Lorentz surfaces in 4D indefinite space forms with index 3. Zbl 1217.53061
Chen, Bang-Yen
2010
Lagrangian submanifolds in para-Kähler manifolds. Zbl 1204.53043
Chen, Bang-Yen
2010
On purely real surfaces in Kaehler surfaces. Zbl 1193.53126
Chen, Bang-Yen
2010
On purely real surfaces with harmonic Wirtinger function in complex space forms. Zbl 1197.53065
2010
Complete classification of parallel Lorentz surfaces in neutral pseudo hyperbolic 4-space. Zbl 1210.53058
Chen, Bang-Yen
2010
Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms. Zbl 1182.53018
Chen, Bang-Yen; Van der Veken, Joeri
2009
Classification of quasi-minimal surfaces with parallel mean curvature vector in pseudo-Euclidean 4-space $${\mathbb E}^4_2$$. Zbl 1178.53049
Chen, Bang-Yen; Garay, Oscar J.
2009
Classification of quasi-minimal slant surfaces in Lorentzian complex space forms. Zbl 1199.53167
Chen, B. Y.; Mihai, I.
2009
Classification of spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension. Zbl 1214.53021
Chen, Bang-Yen
2009
...and 324 more Documents
all top 5

#### Cited by 1,208 Authors

 170 Chen, Bang-Yen 45 Vrancken, Luc 38 Vanhecke, Lieven 34 Kim, Youngho 34 Siraj-Uddin 30 Dillen, Franki 29 Verstraelen, Leopold C. A. 24 Fu, Yu 23 De, Uday Chand 22 Oniciuc, Cezar 22 Vîlcu, Gabriel Eduard 20 Al-Solamy, Falleh Rijaullah 20 Garay, Oscar Jesus 18 Barros, Manuel 17 Mihai, Ion 16 Deshmukh, Sharief 16 Mantica, Carlo Alberto 16 Montaldo, Stefano 16 Urakawa, Hajime 16 Van der Veken, Joeri 15 Mihai, Adela 15 Rosca, Radu M. 15 Suh, Young Jin 14 Arslan, Kadri 14 Lee, Jaewon 14 Lucas, Pascual 14 Yoon, Dae Won 13 Fetcu, Dorel 13 Hu, Zejun 13 Khan, Meraj Ali 13 Kumar, Rakesh 13 Ṣahin, Bayram 13 Turgay, Nurettin Cenk 13 Yano, Kentaro 12 Carriazo, Alfonso 12 Chaubey, Sudhakar Kumar 12 Gupta, Ram Shankar 12 Hui, Shyamal Kumar 12 Kim, Dongsoo S. 12 Li, Haizhong 12 Molinari, Luca Guido 12 Ozgur, Cihan 12 Öztürk, Günay 12 Sasahara, Toru 11 Adachi, Toshiaki 11 Ali, Akram 11 Blair, David E. 11 Dragomir, Sorin 11 Houh, Chorng-Shi 11 Kılıç, Erol 11 Maeta, Shun 11 Shahid, Mohammed Hasan 10 Castro, Ildefonso 10 Milousheva, Velichka 10 Tasaki, Hiroyuki 9 Bulca, Betül 9 Hasanis, Thomas 9 Maeda, Sadahiro 9 Mohammadpouri, Akram 9 Nagaich, Rakesh Kumar 9 Park, Kwang-Soon 9 Shaikh, Absos Ali 9 Sharma, Ramesh 9 Suceavă, Bogdan Dragos 9 Tanaka, Makiko Sumi 9 Tripathi, Mukut Mani 9 Wang, Xianfeng 8 Alkhaldi, Ali H. 8 Berndt, Jürgen 8 Choudhary, Majid Ali 8 de Lima, Henrique F. 8 Deszcz, Ryszard 8 Djorić, Mirjana 8 Dos Santos, Fábio Reis 8 Dursun, Uǧur 8 Guo, Zhen 8 Liu, Jiancheng 8 Munteanu, Marian-Ioan 8 Murathan, Cengizhan 8 Ou, Ye-Lin 8 Vlachos, Theodoros 7 Anciaux, Henri 7 Antic, Miroslava 7 Arroyo, Josu J. 7 Bayram, Bengu Kilic 7 Cabrerizo, Jose Luis 7 Crâşmăreanu, Mircea 7 Ferrández, Angel 7 García-Río, Eduardo 7 Khan, Viqar Azam 7 Luo, Yong 7 Ogiue, Koichi 7 Pak, Jin Suk 7 Pashaie, Firooz 7 Pişcoran, Laurian-Ioan 7 Ratto, Andrea 7 Romero, Alfonso 7 Shenawy, Sameh 7 Wang, Changping 7 Xia, Changyu ...and 1,108 more Authors
all top 5

#### Cited in 247 Serials

 96 Journal of Geometry and Physics 67 Journal of Geometry 58 Kodai Mathematical Journal 53 Differential Geometry and its Applications 45 Results in Mathematics 44 Journal of Mathematical Analysis and Applications 43 Proceedings of the American Mathematical Society 43 Mediterranean Journal of Mathematics 39 Tohoku Mathematical Journal. Second Series 37 Annals of Global Analysis and Geometry 36 International Journal of Geometric Methods in Modern Physics 34 Annali di Matematica Pura ed Applicata. Serie Quarta 34 Geometriae Dedicata 28 Bulletin of the Australian Mathematical Society 28 Archiv der Mathematik 27 The Journal of Geometric Analysis 25 Israel Journal of Mathematics 24 Transactions of the American Mathematical Society 24 International Electronic Journal of Geometry 23 Mathematische Zeitschrift 23 Kodai Mathematical Seminar Reports 21 Czechoslovak Mathematical Journal 19 Mathematische Annalen 18 Rocky Mountain Journal of Mathematics 18 Glasgow Mathematical Journal 18 International Journal of Mathematics 16 Monatshefte für Mathematik 15 Journal of Mathematical Physics 14 Rendiconti del Circolo Matemàtico di Palermo. Serie II 14 Communications of the Korean Mathematical Society 14 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 13 Acta Mathematica Sinica. English Series 12 Manuscripta Mathematica 12 Tokyo Journal of Mathematics 12 Turkish Journal of Mathematics 12 Taiwanese Journal of Mathematics 12 Journal of Inequalities and Applications 12 DGDS. Differential Geometry – Dynamical Systems 11 Advances in Mathematics 11 Acta Mathematica Hungarica 11 Facta Universitatis. Series Mathematics and Informatics 11 Abstract and Applied Analysis 10 General Relativity and Gravitation 10 Journal of Soviet Mathematics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Calculus of Variations and Partial Differential Equations 10 Journal of Mathematical Sciences (New York) 9 Advances in Geometry 8 Indian Journal of Pure & Applied Mathematics 8 Mathematical Notes 8 Journal of the Mathematical Society of Japan 8 Proceedings of the Japan Academy. Series A 8 Arab Journal of Mathematical Sciences 8 Honam Mathematical Journal 8 Bulletin of the American Mathematical Society 8 Science China. Mathematics 8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 8 Afrika Matematika 7 Ukrainian Mathematical Journal 7 Applied Mathematics and Computation 7 Kyungpook Mathematical Journal 7 Mathematische Nachrichten 7 Nagoya Mathematical Journal 7 Osaka Journal of Mathematics 7 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 7 Boletim da Sociedade Paranaense de Matemática. Terceira Série 7 ISRN Geometry 6 Beiträge zur Algebra und Geometrie 6 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 6 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica 6 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 6 International Journal of Mathematics and Mathematical Sciences 6 Note di Matematica 6 Kragujevac Journal of Mathematics 6 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 6 Central European Journal of Mathematics 6 Asian-European Journal of Mathematics 6 Mathematics 5 Rendiconti del Seminario Matematico della Università di Padova 5 Bulletin of the Iranian Mathematical Society 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 5 Balkan Journal of Geometry and its Applications (BJGA) 5 Mathematical Physics, Analysis and Geometry 5 Communications in Contemporary Mathematics 5 Lobachevskii Journal of Mathematics 5 Cubo 5 Frontiers of Mathematics in China 5 Acta Universitatis Sapientiae. Mathematica 4 Periodica Mathematica Hungarica 4 Chaos, Solitons and Fractals 4 Annales Polonici Mathematici 4 Illinois Journal of Mathematics 4 Journal of the Korean Mathematical Society 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Siberian Mathematical Journal 4 Acta Applicandae Mathematicae 4 Science in China. Series A 4 Linear Algebra and its Applications 4 Mathematical Problems in Engineering ...and 147 more Serials
all top 5

#### Cited in 44 Fields

 1,720 Differential geometry (53-XX) 166 Global analysis, analysis on manifolds (58-XX) 68 Several complex variables and analytic spaces (32-XX) 55 Relativity and gravitational theory (83-XX) 42 Partial differential equations (35-XX) 35 Manifolds and cell complexes (57-XX) 33 Calculus of variations and optimal control; optimization (49-XX) 13 Algebraic geometry (14-XX) 13 Nonassociative rings and algebras (17-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Convex and discrete geometry (52-XX) 9 Topological groups, Lie groups (22-XX) 9 Potential theory (31-XX) 9 Quantum theory (81-XX) 8 Algebraic topology (55-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Functions of a complex variable (30-XX) 7 Geometry (51-XX) 7 Fluid mechanics (76-XX) 6 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 4 Ordinary differential equations (34-XX) 4 Functional analysis (46-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistics (62-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 General topology (54-XX) 1 Classical thermodynamics, heat transfer (80-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.