Edit Profile Chen, Bang-Yen Compute Distance To: Compute 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 424 Publications have been cited 4,395 times in 1,786 Documents Cited by ▼ Year ▼ Geometry of submanifolds. Zbl 0262.53036Chen, Bang-yen 191 1973 Total mean curvature and submanifolds of finite type. Zbl 0537.53049Chen, Bang-Yen 140 1984 Some pinching and classification theorems for minimal submanifolds. Zbl 0811.53060Chen, Bang-Yen 123 1993 Some open problems and conjectures on submanifolds of finite type. Zbl 0749.53037Chen, Bang-Yen 115 1991 On totally real submanifolds. Zbl 0286.53019Chen, Bang-Yen; Ogiue, Koichi 99 1974 Geometry of slant submanifolds. Zbl 0716.53006Chen, Bang-Yen 88 1990 Geometry of warped product CR-submanifolds in Kaehler manifolds. Zbl 0996.53044Chen, Bang-Yen 71 2001 Pseudo-Riemannian geometry, \(\delta\)-invariants and applications. Zbl 1245.53001Chen, Bang-Yen 70 2011 A report on submanifolds of finite type. Zbl 0867.53001Chen, Bang-Yen 66 1996 Slant immersions. Zbl 0677.53060Chen, Bang-Yen 64 1990 When does the position vector of a space curve always lie in its rectifying plane? Zbl 1035.53003Chen, Bang-Yen 56 2003 Totally geodesic submanifolds of symmetric spaces. II. Zbl 0384.53024Chen, Bang-Yen; Nagano, Tadashi 54 1978 Biharmonic pseudo-Riemannian submanifolds in pseudo-Euclidean spaces. Zbl 0892.53012Chen, Bang-Yeng; Ishikawa, Susumu 54 1998 Geometry of submanifolds and its applications. Zbl 0474.53050Chen, Bang-yen 52 1981 Geometry of warped product CR-submanifolds in Kaehler manifolds. II. Zbl 0996.53045Chen, Bang-Yen 51 2001 Differential geometry of geodesic spheres. Zbl 0503.53013Chen, Bang-Yen; Vanhecke, Lieven 46 1981 Biharmonic surfaces in pseudo-Euclidean spaces. Zbl 0757.53009Chen, Bang-Yen; Ishikawa, Susumu 45 1991 Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions. Zbl 0962.53015Chen, Bang-Yen 43 1999 Some new obstructions to minimal and Lagrangian isometric immersions. Zbl 1026.53009Chen, Bang-Yen 43 2000 Some conformal invariants of submanifolds and their applications. Zbl 0321.53042Chen, Bang-yen 43 1974 Hypersurfaces of a conformally flat space. Zbl 0257.53027Chen, Bang-Yen; Yano, Kentaro 40 1972 Mean curvature and shape operator of isometric immersions in real-space-forms. Zbl 0866.53038Chen, Bang-Yen 39 1996 On CR-submanifolds of Hermitian manifolds. Zbl 0453.53018Blair, David E.; Chen, Bang-Yen 35 1979 Biharmonic ideal hypersurfaces in Euclidean spaces. Zbl 1260.53017Chen, Bang-Yen; Munteanu, Marian Ioan 34 2013 Submanifolds with finite type Gauss map. Zbl 0672.53044Chen, Bang-Yen; Piccinni, Paolo 33 1987 CR-submanifolds of a Kähler manifold. I. Zbl 0431.53048Chen, Bang-yen 33 1981 Riemannian geometry of Lagrangian submanifolds. Zbl 1002.53053Chen, Bang-Yen 32 2001 Geometry of warped product submanifolds: a survey. Zbl 1301.53049Chen, Bang-Yen 31 2013 A simple characterization of generalized Robertson-Walker spacetimes. Zbl 1308.83159Chen, Bang-Yen 31 2014 Totally geodesic submanifolds of symmetric spaces. I. Zbl 0368.53038Chen, Bang-Yen; Nagano, Tadashi 30 1977 Rectifying curves as centrodes and extremal curves. Zbl 1082.53012Chen, Bang-Yen; Dillen, Franki 29 2005 An exotic totally real minimal immersion of \(S^ 3\) in \(\mathbb{C} P^ 3\) and its characterisation. Zbl 0855.53011Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L. 28 1996 Totally real submanifolds of \(\mathbb{C} P^ n\) satisfying a basic equality. Zbl 0816.53034Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L. 27 1994 Complex extensors and Lagrangian submanifolds in complex Euclidean spaces. Zbl 0877.53041Chen, Bang-Yen 27 1997 On isometric minimal immersions from warped products into real space forms. Zbl 1022.53022Chen, Bang-Yen 26 2002 Interaction of Legendre curves and Lagrangian submanifolds. Zbl 0884.53014Chen, Bang-Yen 26 1997 Total mean curvature and submanifolds of finite type. 2nd ed. Zbl 1326.53004Chen, Bang-Yen 26 2015 A Riemannian geometric invariant and its applications to a problem of Borel and Serre. Zbl 0656.53049Chen, Bang-Yen; Nagano, Tadashi 25 1988 Warped product bi-slant immersions in Kaehler manifolds. Zbl 1369.53039Uddin, Siraj; Chen, Bang-Yen; Al-Solamy, Falleh R. 23 2017 Null 2-type surfaces in \(E^ 3\) are circular cylinders. Zbl 0657.53002Chen, Bang-Yen 23 1988 Classification of marginally trapped Lorentzian flat surfaces in \(\mathbb E^4_2\) and its application to biharmonic surfaces. Zbl 1160.53007Chen, Bang-Yen 23 2008 Two theorems on Kähler manifolds. Zbl 0295.53028Chen, Bang-yen; Ogiue, Koichi 23 1974 On the total curvature of immersed manifolds. I: An inequality of Fenchel-Borsuk-Willmore. Zbl 0209.52803Chen, B.-y. 22 1971 Minimal submanifolds of a higher dimensional sphere. Zbl 0218.53073Yano, Kentaro; Chen, Bang-Yen 22 1971 Differential geometry of warped product manifolds and submanifolds. Zbl 1390.53001Chen, Bang-Yen 21 2017 Pointwise slant submanifolds in almost Hermitian manifolds. Zbl 1269.53059Chen, Bang-Yen; Garay, Oscar J. 21 2012 Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms. Zbl 1182.53018Chen, Bang-Yen; Van der Veken, Joeri 21 2009 Surfaces of revolution with pointwise 1-type Gauss map. Zbl 1082.53004Chen, Bang-Yen; Choi, Miekyung; Kim, Young Ho 20 2005 On the concurrent vector fields of immersed manifolds. Zbl 0221.53049Yano, Kentaro; Chen, Bang-Yen 20 1971 Marginally trapped surfaces in Lorentzian space forms with positive relative nullity. Zbl 1141.53065Chen, Bang-Yen; Van der Veken, Joeri 20 2007 Curvature inequalities for Lagrangian submanifolds: the final solution. Zbl 1288.53014Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc 19 2013 Some results on concircular vector fields and their applications to Ricci solitons. Zbl 1343.53038Chen, Bang-Yen 19 2015 Lagrangian isometric immersions of a real-space-form \(M^n(c)\) into a complex-space-form \(\widetilde M^n(4c)\). Zbl 0929.53008Chen, B.-Y.; Dillen, F.; Verstraelen, L.; Vrancken, L. 19 1998 Some characterizations of complex space forms in terms of Chern classes. Zbl 0315.53034Chen, Bang-Yen; Ogiue, Koichi 19 1975 Integral formulas for submanifolds and their applications. Zbl 0203.53802Chen, B.-y.; Yano, K. 18 1971 Special conformally flat spaces and canal hypersurfaces. Zbl 0266.53043Chen, Bang-yen; Yano, Kentaro 18 1973 Some open problems and conjectures on submanifolds of finite type: recent development. Zbl 1287.53044Chen, Bang-Yen 18 2014 Isometric, holomorphic and symplectic reflections. Zbl 0673.53035Chen, B. Y.; Vanhecke, L. 18 1989 Ruled surfaces and tubes with finite type Gauss map. Zbl 0798.53055Baikoussis, Christos; Chen, Bang-yen; Verstraelen, Leopold 18 1993 Geometry of warped products as Riemannian submanifolds and related problems. Zbl 1012.53051Chen, Bang-Yen 18 2002 Riemannian submanifolds. Zbl 0968.53002Chen, Bang-Yen 18 2000 Surfaces with parallel normalized mean curvature vector. Zbl 0435.53040Chen, Bang-Yen 18 1980 Surfaces of finite type in Euclidean 3-space. Zbl 0628.53011Chen, Bang-Yen 17 1987 Ruled surface of finite type. Zbl 0704.53003Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 17 1990 A general inequality for submanifolds in complex-space-forms and its applications. Zbl 0871.53043Chen, Bang-yen 17 1996 Differential geometry of real submanifolds in a Kaehler manifold. Zbl 0451.53041Chen, Bang-Yen 17 1981 Quaternion CR-submanifolds of quaternion manifolds. Zbl 0481.53046Barros, M.; Chen, B. Y.; Urbano, F. 17 1981 Differential geometry of submanifolds with planar normal sections. Zbl 0486.53004Chen, Bang-Yen 17 1982 Finite type submanifolds in pseudo-Euclidean spaces and applications. Zbl 0586.53022Chen, Bang-Yen 16 1985 CR-warped products in complex projective spaces with compact holomorphic factor. Zbl 1063.53056Chen, Bang-Yen 16 2004 A Riemannian invariant and its applications to submanifold theory. Zbl 0834.53045Chen, Bang-Yen 16 1995 Stationary 2-type surfaces in a hypersphere. Zbl 0613.53023Barros, Manuel; Chen, Bang-Yen 16 1987 Some topological obstructions to Bochner-Kähler metric and their applications. Zbl 0354.53049Chen, Bang-yen 16 1978 On spectral decomposition of immersions of finite type. Zbl 0771.53033Chen, Bang-Yen; Petrovic, Mira 15 1991 Scalar curvature, inequality and submanifold. Zbl 0256.53041Chen, Bang-Yen; Okumura, Masafumi 15 1973 Submanifolds with geodesic normal sections. Zbl 0536.53053Chen, Bang-Yen; Verheyen, Paul 15 1984 Riemannian submersions, \(\delta\)-invariants, and optimal inequality. Zbl 1253.53057Alegre, Pablo; Chen, Bang-Yen; Munteanu, Marian Ioan 15 2012 Strings of Riemannian invariants, inequalities, ideal immersions and their applications. Zbl 1009.53041Chen, Bang-Yen 15 1998 Ideal Lagrangian immersions in complex space forms. Zbl 0980.53096Chen, Bang-Yen 15 2000 Warped product pointwise bi-slant submanifolds of Kaehler manifolds. Zbl 1413.53101Chen, Bang-Yen; Uddin, Siraj 14 2018 On the surface with parallel mean curvature vector. Zbl 0252.53021Chen, Bang-Yen 14 1973 Totally real submanifolds of a quaternion projective space. Zbl 0413.53031Chen, Bang-yen; Houh, Chorng-shi 13 1979 Optimal general inequalities for Lagrangian submanifolds in complex space forms. Zbl 1217.53082Chen, Bang-Yen; Dillen, Franki 13 2011 Finite type submanifolds and generalizations. Zbl 0586.53023Chen, Bang-yen 13 1985 The canonical foliations of a locally conformal Kähler manifold. Zbl 0587.53059Chen, Bang-Yen; Piccinni, Paolo 13 1985 Another general inequality for CR-warped products in complex space forms. Zbl 1049.53039Chen, Bang-Yen 13 2003 On rectifying curves in Euclidean 3-space. Zbl 1424.53021Deshmukh, Sharief; Chen, Bang-Yen; Alshammari, Sana Hamoud 13 2018 Classification of Wintgen ideal surfaces in Euclidean 4-space with equal Gauss and normal curvatures. Zbl 1203.53005Chen, Bang-Yen 13 2010 Differential geometry of rectifying submanifolds. Zbl 1375.53008Chen, Bang-Yen 12 2016 Ricci solitons and concurrent vector fields. Zbl 1334.53032Chen, Bang-Yen; Deshmukh, Sharief 12 2015 Slant submanifolds in complex Euclidean spaces. Zbl 0735.53040Chen, Bang-Yen; Tazawa, Yoshihiko 12 1991 Slant submanifolds of complex projective and complex hyperbolic spaces. Zbl 0979.53058Chen, Bang-Yen; Tazawa, Yoshihiko 12 2000 Lagrangian minimal isometric immersions of a Lorentzian real space form into a Lorentzian complex space form. Zbl 1013.53039Chen, Bang-Yen; Vrancken, Luc 12 2002 Characterizing a class of totally real submanifolds of \(S^ 6\) by their sectional curvatures. Zbl 0829.53049Chen, Bang-Yen; Dillen, Franki; Verstraelen, Leopold; Vrancken, Luc 12 1995 Lagrangian surfaces in complex Euclidean plane via spherical and hyperbolic curves. Zbl 1193.53172Castro, Ildefonso; Chen, Bang-Yen 12 2006 Submanifolds with planar normal sections. Zbl 0485.53004Chen, Bang-Yen 12 1981 CR-submanifolds of a Kähler manifold. II. Zbl 0485.53051Chen, Bang-Yen 12 1981 Spatial and Lorentzian surfaces in Robertson-Walker space times. Zbl 1144.81324Chen, Bang-Yen; Van der Veken, Joeri 12 2007 Classification of marginally trapped surfaces with parallel mean curvature vector in Lorentzian space forms. Zbl 1213.53026Chen, Bang-Yen; Van der Veken, Joeri 12 2010 \(\delta\)-invariants, inequalities of submanifolds and their applications. Zbl 1181.53001Chen, Bang-Yen 11 2008 Lagrangian submanifolds in complex space forms satisfying equality in the optimal inequality involving \(\delta (2, \ldots, 2)\). Zbl 07341122Chen, Bang-Yen; Vrancken, Luc; Wang, Xianfeng 1 2021 Biharmonic submanifolds and biharmonic maps in Riemannian geometry. Zbl 1455.53002Ou, Ye-Lin; Chen, Bang-Yen 6 2020 A generalized Wintgen inequality for quaternionic CR-submanifolds. Zbl 1439.53054Alodan, Haila; Chen, Bang-Yen; Deshmukh, Sharief; Vîlcu, Gabriel-Eduard 1 2020 A Chen first inequality for statistical submanifolds in Hessian manifolds of constant Hessian curvature. Zbl 1430.53061Chen, Bang-Yen; Mihai, Adela; Mihai, Ion 4 2019 Riemannian submanifolds with concircular canonical field. Zbl 1433.53084Chen, Bang-Yen; Wei, Shihshu Walter 3 2019 Sharp growth estimates for warping functions in multiply warped product manifolds. Zbl 1427.53046Chen, Bang-Yen; Wei, Shihshu Walter 3 2019 On some geometric properties of quasi-product production models. Zbl 07056516Alodan, Haila; Chen, Bang-Yen; Deshmukh, Sharief; Vîlcu, Gabriel-Eduard 1 2019 A polymorphic element formulation towards multiscale modelling of composite structures. Zbl 1440.74411Kocaman, E. S.; Chen, B. Y.; Pinho, S. T. 1 2019 Warped product pointwise bi-slant submanifolds of Kaehler manifolds. Zbl 1413.53101Chen, Bang-Yen; Uddin, Siraj 14 2018 On rectifying curves in Euclidean 3-space. Zbl 1424.53021Deshmukh, Sharief; Chen, Bang-Yen; Alshammari, Sana Hamoud 13 2018 Yamabe and quasi-Yamabe solitons on Euclidean submanifolds. Zbl 1425.53050Chen, Bang-Yen; Deshmukh, Sharief 10 2018 A note on Yamabe solitons. Zbl 1408.53051Deshmukh, S.; Chen, B. Y. 9 2018 Classification of \(\delta(2,n-2)\)-ideal Lagrangian submanifolds in \(n\)-dimensional complex space forms. Zbl 1381.53154Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc 4 2018 Two-numbers and their applications – a survey. Zbl 1411.53033Chen, Bang-Yen 4 2018 Euclidean submanifolds with conformal canonical vector field. Zbl 1420.53012Chen, Bang-Yen; Deshmukh, Sharief 3 2018 A link between harmonicity of 2-distance functions and incompressibility of canonical vector fields. Zbl 1410.53059Chen, Bang-Yen 1 2018 A differential equation for Frenet curves in Euclidean 3-space and its applications. Zbl 1424.53022Deshmukh, Sharief; Chen, Bang-Yen; Turki, Nasser Bin 1 2018 Natural mates of Frenet curves in Euclidean 3-space. Zbl 1424.53020Deshmukh, Sharief; Chen, Bang-Yen; Alghanemi, Azeb 1 2018 Warped product bi-slant immersions in Kaehler manifolds. Zbl 1369.53039Uddin, Siraj; Chen, Bang-Yen; Al-Solamy, Falleh R. 23 2017 Differential geometry of warped product manifolds and submanifolds. Zbl 1390.53001Chen, Bang-Yen 21 2017 Rectifying curves and geodesics on a cone in the Euclidean 3-space. Zbl 1371.53002Chen, Bang-Yen 8 2017 Topics in differential geometry associated with position vector fields on Euclidean submanifolds. Zbl 1362.53005Chen, Bang-Yen 8 2017 Addendum to: “Differential geometry of rectifying submanifolds”. Zbl 06726865Chen, Bang-Yen 6 2017 A link between torse-forming vector fields and rotational hypersurfaces. Zbl 1380.53012Chen, Bang-Yen; Verstraelen, Leopold 4 2017 Classification of rectifying space-like submanifolds in pseudo-Euclidean spaces. Zbl 1442.53008Chen, Bang-Yen; Oh, Yun Myung 2 2017 Euclidean submanifolds via tangential components of their position vector fields. Zbl 1391.37044Chen, Bang-Yen 2 2017 Covering maps and ideal embeddings of compact homogeneous spaces. Zbl 1391.53063Chen, Bang-Yen 1 2017 Classification of torqued vector fields and its applications to Ricci solitons. Zbl 07384044Chen, Bang-Yen 1 2017 Differential geometry of rectifying submanifolds. Zbl 1375.53008Chen, Bang-Yen 12 2016 Concircular vector fields and pseudo-Kaehler manifolds. Zbl 06750243Chen, Bang-Yen 3 2016 A survey on Ricci solitons on Riemannian submanifolds. Zbl 1360.53048Chen, Bang-Yen 3 2016 CR-warped submanifolds in Kaehler manifolds. Zbl 1351.32064Chen, Bang-Yen 1 2016 CR-submanifolds and \(\delta \)-invariants. Zbl 1351.32065Chen, Bang-Yen 1 2016 Total mean curvature and submanifolds of finite type. 2nd ed. Zbl 1326.53004Chen, Bang-Yen 26 2015 Some results on concircular vector fields and their applications to Ricci solitons. Zbl 1343.53038Chen, Bang-Yen 19 2015 Ricci solitons and concurrent vector fields. Zbl 1334.53032Chen, Bang-Yen; Deshmukh, Sharief 12 2015 \(\delta(3)\)-ideal null 2-type hypersurfaces in Euclidean spaces. Zbl 1327.53008Chen, Bang-Yen; Fu, Yu 8 2015 Classification of ideal submanifolds of real space forms with type number \(\leq 2\). Zbl 1326.53078Chen, Bang-Yen; Yıldırım, Handan 4 2015 Geometric and topological obstructions to various immersions in submanifold theory and some related open problems. Zbl 06749410Chen, Bang-Yen 2 2015 Einstein manifolds as affine hypersurfaces. Zbl 1315.53042Chen, Bang-Yen 1 2015 A simple characterization of generalized Robertson-Walker spacetimes. Zbl 1308.83159Chen, Bang-Yen 31 2014 Some open problems and conjectures on submanifolds of finite type: recent development. Zbl 1287.53044Chen, Bang-Yen 18 2014 Geometry of compact shrinking Ricci solitons. Zbl 1316.53052Chen, Bang-Yen; Deshmukh, Sharief 10 2014 Solutions to homogeneous Monge-Ampère equations of homothetic functions and their applications to production models in economics. Zbl 1442.35464Chen, Bang-Yen 10 2014 Two optimal inequalities for anti-holomorphic submanifolds and their applications. Zbl 1357.53055Al-Solamy, Falleh R.; Chen, Bang-Yen; Deshmukh, Sharief 8 2014 Notes on isotropic geometry of production models. Zbl 1461.91165Chen, Bang-Yen; Decu, Simona; Verstraelen, Leopold 7 2014 Classification of Ricci solitons on Euclidean hypersurfaces. Zbl 1310.53041Chen, Bang-Yen; Deshmukh, Sharief 7 2014 Ricci solitons on Riemannian submanifolds. Zbl 1333.53054Chen, Bang-Yen 2 2014 Biharmonic ideal hypersurfaces in Euclidean spaces. Zbl 1260.53017Chen, Bang-Yen; Munteanu, Marian Ioan 34 2013 Geometry of warped product submanifolds: a survey. Zbl 1301.53049Chen, Bang-Yen 31 2013 Curvature inequalities for Lagrangian submanifolds: the final solution. Zbl 1288.53014Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri; Vrancken, Luc 19 2013 Recent developments of biharmonic conjecture and modified biharmonic conjectures. Zbl 1300.53013Chen, Bang-Yen 10 2013 A tour through \(\delta\)-invariants: from Nash’s embedding theorem to ideal immersions, best ways of living and beyond. Zbl 1340.53001Chen, Bang-Yen 9 2013 Geometric classifications of homogeneous production functions. Zbl 1334.91043Chen, Bang-Yen; Vîlcu, Gabriel Eduard 6 2013 On ideal hypersurfaces of Euclidean 4-space. Zbl 1280.53052Chen, Bang-Yen 3 2013 Optimal inequalities, contact \(\delta\)-invariants and their applications. Zbl 1279.53048Chen, Bang-Yen; Martin-Molina, Veronica 3 2013 Lagrangian submanifolds with prescribed second fundamental form. Zbl 1303.53096Chen, Bang-Yen; Van der Veken, Joeri; Vrancken, Luc 2 2013 The 2-ranks of connected compact Lie groups. Zbl 1294.22006Chen, Bang-Yen 2 2013 Classification of spherical Lagrangian submanifolds in complex Euclidean spaces. Zbl 1308.53120Chen, Bang-Yen 2 2013 Geometry of position function of totally real submanifolds in complex Euclidean spaces. Zbl 06451380Chen, Bang-Yen 2 2013 Pointwise slant submanifolds in almost Hermitian manifolds. Zbl 1269.53059Chen, Bang-Yen; Garay, Oscar J. 21 2012 Riemannian submersions, \(\delta\)-invariants, and optimal inequality. Zbl 1253.53057Alegre, Pablo; Chen, Bang-Yen; Munteanu, Marian Ioan 15 2012 On some geometric properties of quasi-sum production models. Zbl 1243.39019Chen, Bang-Yen 10 2012 \(\delta (2)\)-ideal null 2-type hypersurfaces of Euclidean space are spherical cylinders. Zbl 1247.53067Chen, Bang-Yen; Garay, Oscar J. 9 2012 An optimal inequality for CR-warped products in complex space forms involving CR \(\delta \)-invariant. Zbl 1244.53059Chen, Bang-Yen 7 2012 Classification of homothetic functions with constant elasticity of substitution and its geometric applications. Zbl 1308.90060Chen, Bang-Yen 7 2012 Classification of \(h\)-homogeneous production functions with constant elasticity of substitution. Zbl 1260.91161Chen, Bang-Yen 7 2012 A note on homogeneous production models. Zbl 1299.91088Chen, Bang-Yen 6 2012 Geometry of quasi-sum production functions with constant elasticity of substitution property. Zbl 1273.90072Chen, Bang-Yen 6 2012 Classification of Lagrangian submanifolds in complex space forms satisfying a basic equality involving \(\delta(2,2)\). Zbl 1237.53045Chen, Bang-Yen; Prieto-Martín, Alicia 5 2012 Lagrangian submanifolds in complex space forms attaining equality in a basic inequality. Zbl 1246.53108Chen, Bang-Yen; Dillen, Franki; Vrancken, Luc 4 2012 Geometry of \(\mathcal P R\)-warped products in para-Kähler manifolds. Zbl 1260.53039Chen, Bang-Yen; Munteanu, Marian Ioan 3 2012 An explicit formula of Hessian determinants of composite functions and its applications. Zbl 1289.15015Chen, Bang-Yen 2 2012 Wintgen ideal surfaces in four-dimensional neutral indefinite space form \({R^4_2(c)}\). Zbl 1267.53054Chen, Bang-Yen 1 2012 Pseudo-Riemannian geometry, \(\delta\)-invariants and applications. Zbl 1245.53001Chen, Bang-Yen 70 2011 Optimal general inequalities for Lagrangian submanifolds in complex space forms. Zbl 1217.53082Chen, Bang-Yen; Dillen, Franki 13 2011 Classification of minimal Lorentz surfaces in indefinite space forms with arbitrary codimension and arbitrary index. Zbl 1274.53078Chen, B.-Y. 11 2011 On some geometric properties of \(h\)-homogeneous production functions in microeconomics. Zbl 1289.91107Chen, Bang-Yen 7 2011 On Wintgen ideal surfaces. Zbl 1266.53007Chen, Bang-Yen 4 2011 \(\delta\)-invariants for Lagrangian submanifolds of complex space forms. Zbl 1264.53057Chen, Bang-Yen; Dillen, Franki 4 2011 Classification theorems for space-like surfaces in 4-dimensional indefinite space forms with index 2. Zbl 1230.53050Chen, Bang-Yen; Suceavǎ, Bogdan D. 2 2011 Lagrangian \(H\)-umbilical submanifolds of para-Kähler manifolds. Zbl 1247.53066Chen, Bang-Yen 1 2011 Classification of Wintgen ideal surfaces in Euclidean 4-space with equal Gauss and normal curvatures. Zbl 1203.53005Chen, Bang-Yen 13 2010 Classification of marginally trapped surfaces with parallel mean curvature vector in Lorentzian space forms. Zbl 1213.53026Chen, Bang-Yen; Van der Veken, Joeri 12 2010 On slant submanifolds of neutral Kähler manifolds. Zbl 1202.53022Arslan, K.; Carriazo, A.; Chen, B.-Y.; Murathan, C. 7 2010 Complete classification of parallel spatial surfaces in pseudo-Riemannian space forms with arbitrary index and dimension. Zbl 1205.53061Chen, Bang-Yen 6 2010 Submanifolds with parallel mean curvature vector in Riemannian and indefinite space forms. Zbl 1214.53014Chen, Bang-Yen 5 2010 Addendum to “classification of marginally trapped Lorentzian flat surfaces in \(\mathbb E_2^4\) and its application to biharmonic surfaces”. Zbl 1179.53021Chen, Bang-Yen; Yang, Dan 5 2010 Complete classification of parallel Lorentzian surfaces in Lorentzian complex space forms. Zbl 1192.53016Chen, Bang-Yen; Dillen, Franki; Van der Veken, Joeri 4 2010 Complete classification of Lorentz surfaces with parallel mean curvature vector in arbitrary pseudo-Euclidean space. Zbl 1207.53067Chen, Bang-Yen 3 2010 A minimal immersion of the hyperbolic plane into the neutral pseudo-hyperbolic 4-space and its characterization. Zbl 1188.53009Chen, Bang-Yen 3 2010 Explicit classification of parallel Lorentz surfaces in 4D indefinite space forms with index 3. Zbl 1217.53061Chen, Bang-Yen 2 2010 Lagrangian submanifolds in para-Kähler manifolds. Zbl 1204.53043Chen, Bang-Yen 2 2010 On purely real surfaces in Kaehler surfaces. Zbl 1193.53126Chen, Bang-Yen 1 2010 On purely real surfaces with harmonic Wirtinger function in complex space forms. Zbl 1197.53065Chen, Bang-Yen; Mihai, Adela 1 2010 Complete classification of parallel Lorentz surfaces in neutral pseudo hyperbolic 4-space. Zbl 1210.53058Chen, Bang-Yen 1 2010 Complete classification of parallel surfaces in 4-dimensional Lorentzian space forms. Zbl 1182.53018Chen, Bang-Yen; Van der Veken, Joeri 21 2009 Classification of quasi-minimal surfaces with parallel mean curvature vector in pseudo-Euclidean 4-space \({\mathbb E}^4_2\). Zbl 1178.53049Chen, Bang-Yen; Garay, Oscar J. 10 2009 Classification of quasi-minimal slant surfaces in Lorentzian complex space forms. Zbl 1199.53167Chen, B. Y.; Mihai, I. 9 2009 Classification of spatial surfaces with parallel mean curvature vector in pseudo-Euclidean spaces of arbitrary dimension. Zbl 1214.53021Chen, Bang-Yen 8 2009 ...and 324 more Documents all cited Publications top 5 cited Publications 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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