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## Chen, Bang-Yen

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 Author ID: chen.bang-yen Published as: Chen, B.; Chen, B. Y.; Chen, B.-Y.; Chen, B.-y.; Chen, Bang Yen; Chen, Bang-Yen; Chen, Bang-Yeng; Chen, Bang-yen External Links: MGP · Wikidata · ResearchGate · GND
 Documents Indexed: 545 Publications since 1967, including 13 Books Reviewing Activity: 326 Reviews Biographic References: 3 Publications
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#### Co-Authors

 286 single-authored 31 Dillen, Franki 29 Verstraelen, Leopold C. A. 24 Vrancken, Luc 20 Yano, Kentaro 16 Ogiue, Koichi 13 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 Blair, David E. 4 Li, Shijie 4 Mihai, Ion 3 Al-Solamy, Falleh Rijaullah 3 Ishikawa, Susumu 3 Kuan, Wei-Eihn 3 Maeda, Sadahiro 3 Mihai, Adela 3 Munteanu, Marian-Ioan 3 Piccinni, Paolo 3 Siraj-Uddin 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 Martín-Molina, Verónica 1 Montiel, Sebastián 1 Murathan, Cengizhan 1 Oh, Yun Myung 1 Okumura, Masafumi 1 Ou, Ye-Lin 1 Prieto-Martín, Alicia 1 Suceavă, Bogdan Dragos 1 Teng, Th. 1 Teng, Tsing-Houa 1 Urbano, Francisco 1 Wu, Baoqiang 1 Yang, Dan 1 Yang, Jie 1 Yildirim, Handan 1 Zhou, Zhengfang
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#### Serials

 19 Proceedings of the American Mathematical Society 17 Tamkang Journal of Mathematics 17 Soochow Journal of Mathematics 15 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 8 Houston Journal of Mathematics 8 Journal of Mathematical Analysis and Applications 8 Kodai Mathematical Journal 8 Tohoku Mathematical Journal. Second Series 7 Journal of Geometry and Physics 7 Journal of Geometry 7 Journal of the Mathematical Society of Japan 7 Monatshefte für Mathematik 7 Kragujevac Journal of Mathematics 7 Bulletin of the American Mathematical Society 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 Beiträge zur Algebra und Geometrie 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 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 Balkan Journal of Geometry and its Applications (BJGA) 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 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 1 Simon Stevin ...and 15 more Serials
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#### Fields

 505 Differential geometry (53-XX) 36 Global analysis, analysis on manifolds (58-XX) 19 Several complex variables and analytic spaces (32-XX) 14 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) 7 Partial differential equations (35-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 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 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH

434 Publications have been cited 4,418 times in 1,881 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
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
Geometry of warped product CR-submanifolds in Kaehler manifolds. Zbl 0996.53044
Chen, Bang-Yen
2001
Numerical evidence for the existence of new types of gravity waves of permanent form on deep water. Zbl 0446.76023
Chen, B.; Saffman, P. G.
1980
Steady gravity-capillary waves on deep water. I: Weakly nonlinear waves. Zbl 0429.76013
Chen, B.; Saffman, P. G.
1979
Biharmonic pseudo-Riemannian submanifolds in pseudo-Euclidean spaces. Zbl 0892.53012
Chen, Bang-Yeng; Ishikawa, Susumu
1998
Slant immersions. Zbl 0677.53060
Chen, Bang-Yen
1990
Geometry of submanifolds and its applications. Zbl 0474.53050
Chen, Bang-yen
1981
Totally geodesic submanifolds of symmetric spaces. II. Zbl 0384.53024
1978
When does the position vector of a space curve always lie in its rectifying plane? Zbl 1035.53003
Chen, Bang-Yen
2003
Differential geometry of geodesic spheres. Zbl 0503.53013
Chen, Bang-Yen; Vanhecke, Lieven
1981
Steady gravity-capillary waves on deep water. II: Numerical results for finite amplitude. Zbl 0449.76011
Chen, B.; Saffman, P. G.
1980
Geometry of warped product CR-submanifolds in Kaehler manifolds. II. Zbl 0996.53045
Chen, Bang-Yen
2001
Biharmonic surfaces in pseudo-Euclidean spaces. Zbl 0757.53009
Chen, Bang-Yen; Ishikawa, Susumu
1991
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
Mean curvature and shape operator of isometric immersions in real-space-forms. Zbl 0866.53038
Chen, Bang-Yen
1996
Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions. Zbl 0962.53015
Chen, Bang-Yen
1999
Submanifolds with finite type Gauss map. Zbl 0672.53044
Chen, Bang-Yen; Piccinni, Paolo
1987
Hypersurfaces of a conformally flat space. Zbl 0257.53027
Chen, Bang-Yen; Yano, Kentaro
1972
Biharmonic ideal hypersurfaces in Euclidean spaces. Zbl 1260.53017
Chen, Bang-Yen; Munteanu, Marian Ioan
2013
CR-submanifolds of a Kähler manifold. I. Zbl 0431.53048
Chen, Bang-yen
1981
On CR-submanifolds of Hermitian manifolds. Zbl 0453.53018
Blair, David E.; Chen, Bang-Yen
1979
Riemannian geometry of Lagrangian submanifolds. Zbl 1002.53053
Chen, Bang-Yen
2001
Totally geodesic submanifolds of symmetric spaces. I. Zbl 0368.53038
1977
Total mean curvature and submanifolds of finite type. 2nd ed. Zbl 1326.53004
Chen, Bang-Yen
2015
Geometry of warped product submanifolds: a survey. Zbl 1301.53049
Chen, Bang-Yen
2013
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
A simple characterization of generalized Robertson-Walker spacetimes. Zbl 1308.83159
Chen, Bang-Yen
2014
A Riemannian geometric invariant and its applications to a problem of Borel and Serre. Zbl 0656.53049
1988
Complex extensors and Lagrangian submanifolds in complex Euclidean spaces. Zbl 0877.53041
Chen, Bang-Yen
1997
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
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
Two theorems on Kähler manifolds. Zbl 0295.53028
Chen, Bang-yen; Ogiue, Koichi
1974
Null 2-type surfaces in $$E^ 3$$ are circular cylinders. Zbl 0657.53002
Chen, Bang-Yen
1988
Minimal submanifolds of a higher dimensional sphere. Zbl 0218.53073
Yano, Kentaro; Chen, Bang-Yen
1971
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
On the total curvature of immersed manifolds. I: An inequality of Fenchel-Borsuk-Willmore. Zbl 0209.52803
Chen, B.-y.
1971
Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms. Zbl 1182.53018
Chen, Bang-Yen; Van der Veken, Joeri
2009
Marginally trapped surfaces in Lorentzian space forms with positive relative nullity. Zbl 1141.53065
Chen, Bang-Yen; Van der Veken, Joeri
2007
Surfaces of revolution with pointwise 1-type Gauss map. Zbl 1082.53004
Chen, Bang-Yen; Choi, Miekyung; Kim, Young Ho
2005
Warped product bi-slant immersions in Kaehler manifolds. Zbl 1369.53039
Uddin, Siraj; Chen, Bang-Yen; Al-Solamy, Falleh R.
2017
Riemannian submanifolds. Zbl 0968.53002
Chen, Bang-Yen
2000
Some characterizations of complex space forms in terms of Chern classes. Zbl 0315.53034
Chen, Bang-Yen; Ogiue, Koichi
1975
Differential geometry of warped product manifolds and submanifolds. Zbl 1390.53001
Chen, Bang-Yen
2017
Some open problems and conjectures on submanifolds of finite type: recent development. Zbl 1287.53044
Chen, Bang-Yen
2014
Curvature inequalities for Lagrangian submanifolds: the final solution. Zbl 1288.53014
Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc
2013
Pointwise slant submanifolds in almost Hermitian manifolds. Zbl 1269.53059
Chen, Bang-Yen; Garay, Oscar J.
2012
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
Ruled surfaces and tubes with finite type Gauss map. Zbl 0798.53055
Baikoussis, Christos; Chen, Bang-yen; Verstraelen, Leopold
1993
Isometric, holomorphic and symplectic reflections. Zbl 0673.53035
Chen, B. Y.; Vanhecke, L.
1989
Differential geometry of submanifolds with planar normal sections. Zbl 0486.53004
Chen, Bang-Yen
1982
Ruled surface of finite type. Zbl 0704.53003
Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc
1990
Surfaces of finite type in Euclidean 3-space. Zbl 0628.53011
Chen, Bang-Yen
1987
Special conformally flat spaces and canal hypersurfaces. Zbl 0266.53043
Chen, Bang-yen; Yano, Kentaro
1973
Integral formulas for submanifolds and their applications. Zbl 0203.53802
Chen, B.-y.; Yano, K.
1971
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
Finite type submanifolds in pseudo-Euclidean spaces and applications. Zbl 0586.53022
Chen, Bang-Yen
1985
Quaternion CR-submanifolds of quaternion manifolds. Zbl 0481.53046
Barros, M.; Chen, B. Y.; Urbano, F.
1981
Surfaces with parallel normalized mean curvature vector. Zbl 0435.53040
Chen, Bang-Yen
1980
Some topological obstructions to Bochner-Kähler metric and their applications. Zbl 0354.53049
Chen, Bang-yen
1978
On the concurrent vector fields of immersed manifolds. Zbl 0221.53049
Yano, Kentaro; Chen, Bang-Yen
1971
Geometry of warped products as Riemannian submanifolds and related problems. Zbl 1012.53051
Chen, Bang-Yen
2002
On spectral decomposition of immersions of finite type. Zbl 0771.53033
Chen, Bang-Yen; Petrovic, Mira
1991
Submanifolds with geodesic normal sections. Zbl 0536.53053
Chen, Bang-Yen; Verheyen, Paul
1984
Differential geometry of real submanifolds in a Kaehler manifold. Zbl 0451.53041
Chen, Bang-Yen
1981
Scalar curvature, inequality and submanifold. Zbl 0256.53041
Chen, Bang-Yen; Okumura, Masafumi
1973
CR-warped products in complex projective spaces with compact holomorphic factor. Zbl 1063.53056
Chen, Bang-Yen
2004
Ideal Lagrangian immersions in complex space forms. Zbl 0980.53096
Chen, Bang-Yen
2000
A general inequality for submanifolds in complex-space-forms and its applications. Zbl 0871.53043
Chen, Bang-yen
1996
On the surface with parallel mean curvature vector. Zbl 0252.53021
Chen, Bang-Yen
1973
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
Strings of Riemannian invariants, inequalities, ideal immersions and their applications. Zbl 1009.53041
Chen, Bang-Yen
1998
The canonical foliations of a locally conformal Kähler manifold. Zbl 0587.53059
Chen, Bang-Yen; Piccinni, Paolo
1985
Finite type submanifolds and generalizations. Zbl 0586.53023
Chen, Bang-yen
1985
Riemannian submersions, $$\delta$$-invariants, and optimal inequality. Zbl 1253.53057
Alegre, Pablo; Chen, Bang-Yen; Munteanu, Marian Ioan
2012
Optimal general inequalities for Lagrangian submanifolds in complex space forms. Zbl 1217.53082
Chen, Bang-Yen; Dillen, Franki
2011
Spatial and Lorentzian surfaces in Robertson-Walker space times. Zbl 1144.81324
Chen, Bang-Yen; Van der Veken, Joeri
2007
Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space forms. Zbl 1121.53047
Chen, Bang-Yen; Dillen, Franki
2007
$$p$$-$$p^\prime$$ system with $$B$$ field, branes at angles and noncommutative geometry. Zbl 0976.81121
Chen, B.; Itoyama, H.; Matsuo, T.; Murakami, K.
2000
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
Submanifolds with planar normal sections. Zbl 0485.53004
Chen, Bang-Yen
1981
Totally real submanifolds of a quaternion projective space. Zbl 0413.53031
Chen, Bang-yen; Houh, Chorng-shi
1979
$$\delta$$-invariants, inequalities of submanifolds and their applications. Zbl 1181.53001
Chen, Bang-Yen
2008
Another general inequality for CR-warped products in complex space forms. Zbl 1049.53039
Chen, Bang-Yen
2003
Slant submanifolds of complex projective and complex hyperbolic spaces. Zbl 0979.53058
Chen, Bang-Yen; Tazawa, Yoshihiko
2000
Deformations of isotropic submanifolds in Kähler manifolds. Zbl 0788.53051
Chen, Bang-Yen; Morvan, Jean-Marie
1994
Géométrie des surfaces lagrangiennes de $$C^ 2$$. (Geometry of Lagrangean surfaces of $$C^ 2)$$. Zbl 0629.53048
Chen, Bang-Yen; Morvan, Jean-Marie
1987
On the total curvature of immersed manifolds. VI: Submanifolds of finite type and their applications. Zbl 0514.53049
Chen, Bang-yen
1983
CR-submanifolds of a Kähler manifold. II. Zbl 0485.53051
Chen, Bang-Yen
1981
On rectifying curves in Euclidean 3-space. Zbl 1424.53021
Deshmukh, Sharief; Chen, Bang-Yen; Alshammari, Sana Hamoud
2018
Biharmonic submanifolds and biharmonic maps in Riemannian geometry. Zbl 07184925
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
Sharp growth estimates for warping functions in multiply warped product manifolds. Zbl 1427.53046
Chen, Bang-Yen; Wei, Shihshu Walter
2019
A polymorphic element formulation towards multiscale modelling of composite structures. Zbl 1440.74411
Kocaman, E. S.; Chen, B. Y.; Pinho, S. T.
2019
Riemannian submanifolds with concircular canonical field. Zbl 1433.53084
Chen, Bang-Yen; Wei, Shihshu Walter
2019
On rectifying curves in Euclidean 3-space. Zbl 1424.53021
Deshmukh, Sharief; Chen, Bang-Yen; Alshammari, Sana Hamoud
2018
Warped product pointwise bi-slant submanifolds of Kaehler manifolds. Zbl 1413.53101
Chen, Bang-Yen; Uddin, Siraj
2018
A note on Yamabe solitons. Zbl 1408.53051
Deshmukh, S.; Chen, B. Y.
2018
Yamabe and quasi-Yamabe solitons on Euclidean submanifolds. Zbl 1425.53050
Chen, Bang-Yen; Deshmukh, Sharief
2018
Two-numbers and their applications – a survey. Zbl 1411.53033
Chen, Bang-Yen
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
Fluctuating periodic solutions and moment boundedness of a stochastic model for the bone remodeling process. Zbl 1393.92008
Jerez, S.; Díaz-Infante, S.; Chen, B.
2018
Euclidean submanifolds with conformal canonical vector field. Zbl 1420.53012
Chen, Bang-Yen; Deshmukh, Sharief
2018
Natural mates of Frenet curves in Euclidean 3-space. Zbl 1424.53020
Deshmukh, Sharief; Chen, Bang-Yen; Alghanemi, Azeb
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
A link between harmonicity of 2-distance functions and incompressibility of canonical vector fields. Zbl 1410.53059
Chen, Bang-Yen
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
Addendum to: “Differential geometry of rectifying submanifolds”. Zbl 06726865
Chen, Bang-Yen
2017
Topics in differential geometry associated with position vector fields on Euclidean submanifolds. Zbl 1362.53005
Chen, Bang-Yen
2017
A link between torse-forming vector fields and rotational hypersurfaces. Zbl 1380.53012
Chen, Bang-Yen; Verstraelen, Leopold
2017
Euclidean submanifolds via tangential components of their position vector fields. Zbl 1391.37044
Chen, Bang-Yen
2017
Classification of rectifying space-like submanifolds in pseudo-Euclidean spaces. Zbl 1442.53008
Chen, Bang-Yen; Oh, Yun Myung
2017
Covering maps and ideal embeddings of compact homogeneous spaces. Zbl 1391.53063
Chen, Bang-Yen
2017
Differential geometry of rectifying submanifolds. Zbl 1375.53008
Chen, Bang-Yen
2016
Non-vanishing and sign changes of Hecke eigenvalues for half-integral weight cusp forms. Zbl 1364.11095
Chen, B.; Wu, Jie
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-submanifolds and $$\delta$$-invariants. Zbl 1351.32065
Chen, Bang-Yen
2016
CR-warped submanifolds in Kaehler manifolds. Zbl 1351.32064
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
Stability analysis of a Komarova type model for the interactions of osteoblast and osteoclast cells during bone remodeling. Zbl 1371.92044
Jerez, S.; Chen, B.
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
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
Geometry of compact shrinking Ricci solitons. Zbl 1316.53052
Chen, Bang-Yen; Deshmukh, Sharief
2014
Classification of Ricci solitons on Euclidean hypersurfaces. Zbl 1310.53041
Chen, Bang-Yen; Deshmukh, Sharief
2014
Notes on isotropic geometry of production models. Zbl 06704561
Chen, Bang-Yen; Decu, Simona; Verstraelen, Leopold
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
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
Recent developments of biharmonic conjecture and modified biharmonic conjectures. Zbl 1300.53013
Chen, Bang-Yen
2013
Geometric classifications of homogeneous production functions. Zbl 1334.91043
Chen, Bang-Yen; Vîlcu, Gabriel Eduard
2013
Optimal inequalities, contact $$\delta$$-invariants and their applications. Zbl 1279.53048
Chen, Bang-Yen; Martin-Molina, Veronica
2013
Geometry of position function of totally real submanifolds in complex Euclidean spaces. Zbl 06451380
Chen, Bang-Yen
2013
Classification of spherical Lagrangian submanifolds in complex Euclidean spaces. Zbl 1308.53120
Chen, Bang-Yen
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
On ideal hypersurfaces of Euclidean 4-space. Zbl 1280.53052
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
$$\delta (2)$$-ideal null 2-type hypersurfaces of Euclidean space are spherical cylinders. Zbl 1247.53067
Chen, Bang-Yen; Garay, Oscar J.
2012
On some geometric properties of quasi-sum production models. Zbl 1243.39019
Chen, Bang-Yen
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
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 $$h$$-homogeneous production functions with constant elasticity of substitution. Zbl 1260.91161
Chen, Bang-Yen
2012
Geometry of $$\mathcal P R$$-warped products in para-Kähler manifolds. Zbl 1260.53039
Chen, Bang-Yen; Munteanu, Marian Ioan
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
An explicit formula of Hessian determinants of composite functions and its applications. Zbl 1289.15015
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
$$\delta$$-invariants for Lagrangian submanifolds of complex space forms. Zbl 1264.53057
Chen, Bang-Yen; Dillen, Franki
2011
On Wintgen ideal surfaces. Zbl 1266.53007
Chen, Bang-Yen
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
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
Classification of Wintgen ideal surfaces in Euclidean 4-space with equal Gauss and normal curvatures. Zbl 1203.53005
Chen, Bang-Yen
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
Complete classification of parallel Lorentz surfaces in neutral pseudo hyperbolic 4-space. Zbl 1210.53058
Chen, Bang-Yen
2010
On purely real surfaces with harmonic Wirtinger function in complex space forms. Zbl 1197.53065
2010
On purely real surfaces in Kaehler surfaces. Zbl 1193.53126
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 slant surfaces in Lorentzian complex space forms. Zbl 1199.53167
Chen, B. Y.; Mihai, I.
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
Black holes, marginally trapped surfaces and quasi-minimal surfaces. Zbl 1194.53060
Chen, Bang-Yen
2009
Classification of spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension. Zbl 1214.53021
Chen, Bang-Yen
2009
Complete classification of spatial surfaces with parallel mean curvature vector in arbitrary non-flat pseudo-Riemannian space forms. Zbl 1183.53050
Chen, Bang-Yen
2009
...and 334 more Documents
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#### Cited by 1,458 Authors

 165 Chen, Bang-Yen 43 Vrancken, Luc 38 Vanhecke, Lieven 35 Kim, Youngho 31 Dillen, Franki 31 Siraj-Uddin 29 Verstraelen, Leopold C. A. 22 Fu, Yu 21 Oniciuc, Cezar 20 Al-Solamy, Falleh Rijaullah 20 Garay, Oscar Jesus 20 Vîlcu, Gabriel Eduard 19 Barros, Manuel 19 De, Uday Chand 19 Urakawa, Hajime 18 Mihai, Ion 17 Deshmukh, Sharief 16 Montaldo, Stefano 16 Van der Veken, Joeri 15 Lucas, Pascual 15 Mantica, Carlo Alberto 15 Rosca, Radu M. 15 Suh, Young Jin 15 Vanden-Broeck, Jean-Marc 14 Mihai, Adela 14 Ou, Ye-Lin 14 Yoon, Dae Won 13 Kim, Dongsoo S. 13 Yano, Kentaro 12 Arslan, Kadri 12 Carriazo, Alfonso 12 Dragomir, Sorin 12 Fetcu, Dorel 12 Khan, Meraj Ali 12 Lee, Jaewon 12 Li, Haizhong 12 Molinari, Luca Guido 12 Saffman, Philip Geoffrey 12 Ṣahin, Bayram 12 Turgay, Nurettin Cenk 11 Adachi, Toshiaki 11 Blair, David E. 11 Gupta, Ram Shankar 11 Houh, Chorng-Shi 11 Jones, Mark Christopher W. 11 Kumar, Rakesh 11 Öztürk, Günay 11 Sasahara, Toru 11 Shahid, Mohammed Hasan 10 Ali, Akram 10 Castro, Ildefonso 10 Hui, Shyamal Kumar 10 Milousheva, Velichka 10 Tasaki, Hiroyuki 9 Bulca, Betül 9 Hasanis, Thomas 9 Hu, Zejun 9 Kılıç, Erol 9 Maeda, Sadahiro 9 Maeta, Shun 9 Mohammadpouri, Akram 9 Nagaich, Rakesh Kumar 9 Ozgur, Cihan 9 Suceavă, Bogdan Dragos 9 Tanaka, Makiko Sumi 9 Tripathi, Mukut Mani 9 Vlachos, Theodoros 8 Alkhaldi, Ali H. 8 Deszcz, Ryszard 8 Djorić, Mirjana 8 Dursun, Uǧur 8 Ferrández, Angel 8 García-Río, Eduardo 8 Guo, Zhen 8 Jódar Sanchez, Lucas Antonio 8 Liu, Jiancheng 8 Munteanu, Marian-Ioan 8 Park, Kwang-Soon 8 Sharma, Ramesh 8 Wang, Xianfeng 8 Yang, Dan 7 Alías, Luis J. 7 Anciaux, Henri 7 Arroyo, Josu J. 7 Cabrerizo, Jose Luis 7 Chaubey, Sudhakar Kumar 7 Chen, Bingqian 7 de Lima, Henrique F. 7 Dos Santos, Fábio Reis 7 Khan, Viqar Azam 7 Luo, Yong 7 Murathan, Cengizhan 7 Ogiue, Koichi 7 Pak, Jin Suk 7 Pashaie, Firooz 7 Ratto, Andrea 7 Romero, Alfonso 7 Shaikh, Absos Ali 7 Xia, Changyu 7 Zafindratafa, Georges ...and 1,358 more Authors
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#### Cited in 279 Serials

 94 Journal of Geometry and Physics 66 Journal of Geometry 60 Differential Geometry and its Applications 58 Kodai Mathematical Journal 56 Journal of Fluid Mechanics 47 Journal of Mathematical Analysis and Applications 43 Proceedings of the American Mathematical Society 43 Results in Mathematics 41 Mediterranean Journal of Mathematics 39 Tohoku Mathematical Journal. Second Series 37 Annals of Global Analysis and Geometry 37 International Journal of Geometric Methods in Modern Physics 36 Annali di Matematica Pura ed Applicata. Serie Quarta 34 Geometriae Dedicata 28 Bulletin of the Australian Mathematical Society 27 Archiv der Mathematik 25 Israel Journal of Mathematics 24 Transactions of the American Mathematical Society 23 Mathematische Zeitschrift 23 Kodai Mathematical Seminar Reports 21 Czechoslovak Mathematical Journal 20 The Journal of Geometric Analysis 19 Mathematische Annalen 19 International Electronic Journal of Geometry 18 Rocky Mountain Journal of Mathematics 18 Glasgow Mathematical Journal 17 International Journal of Mathematics 16 Monatshefte für Mathematik 15 Journal of Mathematical Physics 13 Rendiconti del Circolo Matemàtico di Palermo. Serie II 13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 12 Manuscripta Mathematica 12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Tokyo Journal of Mathematics 12 Turkish Journal of Mathematics 12 Taiwanese Journal of Mathematics 12 Journal of Inequalities and Applications 12 Acta Mathematica Sinica. English Series 11 Acta Mathematica Hungarica 11 Abstract and Applied Analysis 10 General Relativity and Gravitation 10 Journal of Soviet Mathematics 10 Studies in Applied Mathematics 10 Journal of Mathematical Sciences (New York) 9 Nuclear Physics. B 9 Applied Mathematics and Computation 9 Proceedings of the Japan Academy. Series A 9 Calculus of Variations and Partial Differential Equations 9 Communications of the Korean Mathematical Society 8 Archive for Rational Mechanics and Analysis 8 Mathematical Notes 8 Advances in Mathematics 8 Journal of the Mathematical Society of Japan 8 Bulletin of the American Mathematical Society 7 Indian Journal of Pure & Applied Mathematics 7 Physics of Fluids 7 Ukrainian Mathematical Journal 7 Wave Motion 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 Arab Journal of Mathematical Sciences 7 DGDS. Differential Geometry – Dynamical Systems 7 Advances in Geometry 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 ISRN Geometry 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 Honam Mathematical Journal 6 Journal of High Energy Physics 6 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 6 Central European Journal of Mathematics 6 Boletim da Sociedade Paranaense de Matemática. Terceira Série 6 Afrika Matematika 6 Mathematics 5 Computers & Mathematics with Applications 5 Physics Letters. B 5 Chaos, Solitons and Fractals 5 Beiträge zur Algebra und Geometrie 5 Rendiconti del Seminario Matematico della Università di Padova 5 Note di Matematica 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 Physics of Fluids 5 Balkan Journal of Geometry and its Applications (BJGA) 5 Mathematical Physics, Analysis and Geometry 5 European Journal of Mechanics. B. Fluids 5 Communications in Contemporary Mathematics 5 Lobachevskii Journal of Mathematics 5 Cubo 5 Frontiers of Mathematics in China 5 Asian-European Journal of Mathematics 5 Acta Universitatis Sapientiae. Mathematica 5 Science China. Mathematics 4 Periodica Mathematica Hungarica ...and 179 more Serials
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#### Cited in 53 Fields

 1,629 Differential geometry (53-XX) 163 Global analysis, analysis on manifolds (58-XX) 141 Fluid mechanics (76-XX) 86 Partial differential equations (35-XX) 62 Several complex variables and analytic spaces (32-XX) 60 Relativity and gravitational theory (83-XX) 34 Manifolds and cell complexes (57-XX) 30 Quantum theory (81-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 23 Numerical analysis (65-XX) 18 Dynamical systems and ergodic theory (37-XX) 15 Algebraic geometry (14-XX) 12 Nonassociative rings and algebras (17-XX) 12 Ordinary differential equations (34-XX) 11 Topological groups, Lie groups (22-XX) 9 Geometry (51-XX) 9 Convex and discrete geometry (52-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Number theory (11-XX) 8 Functions of a complex variable (30-XX) 8 Potential theory (31-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Algebraic topology (55-XX) 6 Mechanics of particles and systems (70-XX) 6 Mechanics of deformable solids (74-XX) 6 Biology and other natural sciences (92-XX) 4 Real functions (26-XX) 4 Integral equations (45-XX) 4 Probability theory and stochastic processes (60-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Systems theory; control (93-XX)

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