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| Product Code: | CONM/674 |
| List Price: | $130.00 |
| MAA Member Price: | $117.00 |
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| eBook ISBN: | 978-1-4704-3532-5 |
| Product Code: | CONM/674.E |
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| Softcover ISBN: | 978-1-4704-2298-1 |
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Book DetailsContemporary MathematicsVolume: 674; 2016; 209 ppMSC: Primary 53; 58
This volume contains the proceedings of the AMS Special Session on Geometry of Submanifolds, held from October 25–26, 2014, at San Francisco State University, San Francisco, CA, and the AMS Special Session on Recent Advances in the Geometry of Submanifolds: Dedicated to the Memory of Franki Dillen (1963–2013), held from March 14–15, 2015, at Michigan State University, East Lansing, Ml.
The focus of the volume is on recent studies of submanifolds of Riemannian, semi-Riemannian, Kaehlerian and contact manifolds. Some of these use techniques in classical differential geometry, while others use methods from ordinary differential equations, geometric analysis, or geometric PDEs. By brainstorming on the fundamental problems and exploring a large variety of questions studied in submanifold geometry, the editors hope to provide mathematicians with a working tool, not just a collection of individual contributions.
This volume is dedicated to the memory of Franki Dillen, whose work in submanifold theory attracted the attention of and inspired many geometers.
ReadershipGraduate students and research mathematicians interested in differential geometry.
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Table of Contents
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Articles
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Bang-Yen Chen, Joeri Van der Veken and Luc Vrancken — In memory of Franki Dillen
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Leopold Verstraelen — Natural extrinsic geometrical symmetries — an introduction —
-
Alfonso Carriazo — A survey on semi-Riemannian generalized Sasakian-space-forms
-
Bang-Yen Chen — A survey on Ricci solitons on Riemannian submanifolds
-
Kazuyuki Enomoto and Jin-ichi Itoh — The total absolute curvature and the total absolute torsion of open curves in the Euclidean spaces
-
Brendan Foreman — Vertex-type curves in constant angle surfaces of $\mathcal {H}yp^2\times \mathbb {R}$
-
Wendy Goemans and Ignace Van de Woestyne — Clelia curves, twisted surfaces and Plücker’s conoid in Euclidean and Minkowski 3-space
-
Thomas A. Ivey — Stark hypersurfaces in complex projective space
-
Young Ho Kim — Submanifolds related to Gauss map and some differential operators
-
Zhiqin Lu and David Wenzel — The normal Ricci curvature inequality
-
Ion Mihai — On the generalized Wintgen inequality for submanifolds in complex and Sasakian space forms
-
Ye-Lin Ou — Some recent progress of biharmonic submanifolds
-
Alfonso Romero and Rafael M. Rubio — A nonlinear inequality involving the mean curvature of a spacelike surface in 3-dimensional GRW spacetimes and Calabi-Bernstein type problems
-
Ramesh Sharma and Sharief Deshmukh — On Lagrangian submanifolds of the nearly Kaehler 6-sphere
-
Joeri Van der Veken — Ideal Lagrangian submanifolds
-
Luc Vrancken — Complete Lagrangian ideal $\delta (2)$ submanifolds in the complex projective space
-
Shihshu Walter Wei — Comparison Theorems in Riemannian Geometry with 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, held from October 25–26, 2014, at San Francisco State University, San Francisco, CA, and the AMS Special Session on Recent Advances in the Geometry of Submanifolds: Dedicated to the Memory of Franki Dillen (1963–2013), held from March 14–15, 2015, at Michigan State University, East Lansing, Ml.
The focus of the volume is on recent studies of submanifolds of Riemannian, semi-Riemannian, Kaehlerian and contact manifolds. Some of these use techniques in classical differential geometry, while others use methods from ordinary differential equations, geometric analysis, or geometric PDEs. By brainstorming on the fundamental problems and exploring a large variety of questions studied in submanifold geometry, the editors hope to provide mathematicians with a working tool, not just a collection of individual contributions.
This volume is dedicated to the memory of Franki Dillen, whose work in submanifold theory attracted the attention of and inspired many geometers.
Graduate students and research mathematicians interested in differential geometry.
-
Articles
-
Bang-Yen Chen, Joeri Van der Veken and Luc Vrancken — In memory of Franki Dillen
-
Leopold Verstraelen — Natural extrinsic geometrical symmetries — an introduction —
-
Alfonso Carriazo — A survey on semi-Riemannian generalized Sasakian-space-forms
-
Bang-Yen Chen — A survey on Ricci solitons on Riemannian submanifolds
-
Kazuyuki Enomoto and Jin-ichi Itoh — The total absolute curvature and the total absolute torsion of open curves in the Euclidean spaces
-
Brendan Foreman — Vertex-type curves in constant angle surfaces of $\mathcal {H}yp^2\times \mathbb {R}$
-
Wendy Goemans and Ignace Van de Woestyne — Clelia curves, twisted surfaces and Plücker’s conoid in Euclidean and Minkowski 3-space
-
Thomas A. Ivey — Stark hypersurfaces in complex projective space
-
Young Ho Kim — Submanifolds related to Gauss map and some differential operators
-
Zhiqin Lu and David Wenzel — The normal Ricci curvature inequality
-
Ion Mihai — On the generalized Wintgen inequality for submanifolds in complex and Sasakian space forms
-
Ye-Lin Ou — Some recent progress of biharmonic submanifolds
-
Alfonso Romero and Rafael M. Rubio — A nonlinear inequality involving the mean curvature of a spacelike surface in 3-dimensional GRW spacetimes and Calabi-Bernstein type problems
-
Ramesh Sharma and Sharief Deshmukh — On Lagrangian submanifolds of the nearly Kaehler 6-sphere
-
Joeri Van der Veken — Ideal Lagrangian submanifolds
-
Luc Vrancken — Complete Lagrangian ideal $\delta (2)$ submanifolds in the complex projective space
-
Shihshu Walter Wei — Comparison Theorems in Riemannian Geometry with Applications
