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| MAA Member Price: | $108.00 |
| AMS Member Price: | $96.00 |
| Softcover ISBN: | 978-1-4704-5092-2 |
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| Softcover ISBN: | 978-1-4704-5092-2 |
| Product Code: | CONM/756 |
| List Price: | $120.00 |
| MAA Member Price: | $108.00 |
| AMS Member Price: | $96.00 |
| eBook ISBN: | 978-1-4704-5666-5 |
| Product Code: | CONM/756.E |
| List Price: | $120.00 |
| MAA Member Price: | $108.00 |
| AMS Member Price: | $96.00 |
| Softcover ISBN: | 978-1-4704-5092-2 |
| eBook ISBN: | 978-1-4704-5666-5 |
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Book DetailsContemporary MathematicsVolume: 756; 2020; 269 ppMSC: Primary 53
This volume contains the proceedings of the AMS Special Session on Geometry of Submanifolds, in honor of Bang-Yen Chen's 75th birthday, held from October 20–21, 2018 at the University of Michigan, Ann Arbor, Michigan.
The development of contemporary geometry of submanifolds benefited greatly from Bang-Yen Chen's contributions, as several interesting questions actively pursued today originate in his work. Chen is known for several fundamental ideas in differential geometry, including Chen inequalities, Chen invariants, Chen's conjectures, Chen surface, Chen-Ricci inequality, Chen submanifolds, Chen equality, submanifolds of finite type, and slant submanifolds.
The papers in this volume represent a celebration of the geometry of submanifolds and its connections with other areas of mathematics and cover themes rooted in Chen's work, from investigations on the spectrum of the Laplacian on complete Riemannian manifolds to the geometry of symmetric spaces. These contributions are written with the hope to inform and inspire.
ReadershipGraduate students and research mathematicians interested in differential geometry and geometry of submanifolds.
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Table of Contents
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Articles
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Joeri Van der Veken, Alfonso Carriazo, Ivko Dimitrić, Yun Myung Oh, Bogdan D. Suceavă and Luc Vrancken — Reflections on some research work of Bang-Yen Chen
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Bang-Yen Chen — My education in differential geometry and my indebtedness
-
Leopold Verstraelen — Submanifold theory—A contemplation of submanifolds
-
Nelia Charalambous, Helton Leal and Zhiqin Lu — Spectral gaps on complete Riemannian manifolds
-
Hang Chen — On stability and index of minimal submanifolds
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Andrzej Derdzinski and Paolo Piccione — Maximally-warped metrics with harmonic curvature
-
Ivko Dimitrić and Mirjana Djorić — CR-submanifolds of Chen-type two in non-flat complex space forms
-
Mirjana Djorić and Marian Ioan Munteanu — On certain contact $CR$-submanifolds in ${\mathbb {S}}^7$
-
Leonard M. Giugiuc and Bogdan D. Suceavă — A class of strictly convex hypersurfaces satisfying Weingarten-type inequalities, I
-
Stuart J. Hall and Thomas Murphy — Bounding the invariant spectrum when the scalar curvature is non-negative
-
Thomas A. Ivey — Isometric immersions of surfaces: classical approaches and integrability
-
Adela Mihai — On the geometry of Einstein spaces: a note on their curvature symmetries
-
Ion Mihai — Statistical manifolds and their submanifolds. Results on Chen-like invariants
-
Marilena Moruz and Luc Vrancken — Warped product hypersurfaces in pseudo-Riemannian real space forms
-
Yun Myung Oh — The development of rectifying submanifolds
-
Ye-Lin Ou — Some recent work on biharmonic conformal maps
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Cı̇han Özgür — On isoparametric linear Weingarten hypersurfaces in Riemannian and Lorentzian space forms
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Ramesh Sharma — Lagrangian submanifolds of the nearly Kähler 6-sphere and Chen’s equality
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Gudlaugur Thorbergsson — Sesquilinear forms and symmetric spaces
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Joeri Van der Veken and Anne Wijffels — Lagrangian submanifolds of the complex quadric as Gauss maps of hypersurfaces of spheres
-
Shihshu Walter Wei — Growth estimates for generalized harmonic forms on noncompact manifolds with geometric applications
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
This volume contains the proceedings of the AMS Special Session on Geometry of Submanifolds, in honor of Bang-Yen Chen's 75th birthday, held from October 20–21, 2018 at the University of Michigan, Ann Arbor, Michigan.
The development of contemporary geometry of submanifolds benefited greatly from Bang-Yen Chen's contributions, as several interesting questions actively pursued today originate in his work. Chen is known for several fundamental ideas in differential geometry, including Chen inequalities, Chen invariants, Chen's conjectures, Chen surface, Chen-Ricci inequality, Chen submanifolds, Chen equality, submanifolds of finite type, and slant submanifolds.
The papers in this volume represent a celebration of the geometry of submanifolds and its connections with other areas of mathematics and cover themes rooted in Chen's work, from investigations on the spectrum of the Laplacian on complete Riemannian manifolds to the geometry of symmetric spaces. These contributions are written with the hope to inform and inspire.
Graduate students and research mathematicians interested in differential geometry and geometry of submanifolds.
-
Articles
-
Joeri Van der Veken, Alfonso Carriazo, Ivko Dimitrić, Yun Myung Oh, Bogdan D. Suceavă and Luc Vrancken — Reflections on some research work of Bang-Yen Chen
-
Bang-Yen Chen — My education in differential geometry and my indebtedness
-
Leopold Verstraelen — Submanifold theory—A contemplation of submanifolds
-
Nelia Charalambous, Helton Leal and Zhiqin Lu — Spectral gaps on complete Riemannian manifolds
-
Hang Chen — On stability and index of minimal submanifolds
-
Andrzej Derdzinski and Paolo Piccione — Maximally-warped metrics with harmonic curvature
-
Ivko Dimitrić and Mirjana Djorić — CR-submanifolds of Chen-type two in non-flat complex space forms
-
Mirjana Djorić and Marian Ioan Munteanu — On certain contact $CR$-submanifolds in ${\mathbb {S}}^7$
-
Leonard M. Giugiuc and Bogdan D. Suceavă — A class of strictly convex hypersurfaces satisfying Weingarten-type inequalities, I
-
Stuart J. Hall and Thomas Murphy — Bounding the invariant spectrum when the scalar curvature is non-negative
-
Thomas A. Ivey — Isometric immersions of surfaces: classical approaches and integrability
-
Adela Mihai — On the geometry of Einstein spaces: a note on their curvature symmetries
-
Ion Mihai — Statistical manifolds and their submanifolds. Results on Chen-like invariants
-
Marilena Moruz and Luc Vrancken — Warped product hypersurfaces in pseudo-Riemannian real space forms
-
Yun Myung Oh — The development of rectifying submanifolds
-
Ye-Lin Ou — Some recent work on biharmonic conformal maps
-
Cı̇han Özgür — On isoparametric linear Weingarten hypersurfaces in Riemannian and Lorentzian space forms
-
Ramesh Sharma — Lagrangian submanifolds of the nearly Kähler 6-sphere and Chen’s equality
-
Gudlaugur Thorbergsson — Sesquilinear forms and symmetric spaces
-
Joeri Van der Veken and Anne Wijffels — Lagrangian submanifolds of the complex quadric as Gauss maps of hypersurfaces of spheres
-
Shihshu Walter Wei — Growth estimates for generalized harmonic forms on noncompact manifolds with geometric applications
