Recent Advances in the Geometry of Submanifolds
Dedicated to the Memory of Franki Dillen (1963-2013)
Will be published approx. on 30. October 2016
Book
Paperback/Softback
207 pages
978-1-4704-2298-1 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
327 gr
ISBN-13
978-1-4704-2298-1 (9781470422981)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Bogdan D. Suceava, California State University, Fullerton, CA, USA.
Alfonso Carriazo, University of Seville, Spain.
Yun Myung Oh, Andrews University, Berrien Springs, MI, USA.
Joeri Van der Veken, KU Leuven, Belgium.
Alfonso Carriazo, University of Seville, Spain.
Yun Myung Oh, Andrews University, Berrien Springs, MI, USA.
Joeri Van der Veken, KU Leuven, Belgium.
Content
B.-Y. Chen, J. Van der Veken, and L. Vrancken, In memory of Franki Dillen
L. Verstraelen, Natural extrinsic geometrical symmetries--An introduction
A. Carriazo, A survey on semi-Riemannian generalized Sasakian-space-forms
B.-Y. Chen, A survey on Ricci solitons on Riemannian submanifolds
K. Enomoto and J.-I. Itoh, The total absolute curvature and the total absolute torsion of open curves in the Euclidean spaces
B. Foreman, Vertex-type curves in constant angle surfaces of $\mathcal{H}yp^2\times \mathbb{R}$
W. Goemans and I. Van de Woestyne, Clelia curves, twisted surfaces and Plucker's conoid in Euclidean and Minkowski 3-space
T. A. Ivey, Stark hypersurfaces in complex projective space
Y. H. Kim, Submanifolds related to Gauss map and some differential operators
Z. Lu and D. Wenzel, The normal Ricci curvature inequality
I. Mihai, On the generalized Winten inequality for submanifolds in complex and Sasakian space forms
Y.-L. Ou, Some recent progress of biharmonic submanifolds
A. Romero and R. M. Rubio, A nonlinear inequality involving the mean curvature of a spacelike surface in 3-dimensional GRW spacetimes and Calabi-Bernstein type problems
R. Sharma and S. Deshmukh, On Lagrangian submanifolds of the nearly Kaehler 6-sphere
J. Van der Veken, Ideal Lagrangian submanifolds
L. Vrancken, Complete Lagrangian ideal $\delta(2)$ submanifolds in the complex projective space
S. W. Wei, Comparison theorems in Riemannian geometry with applications.
L. Verstraelen, Natural extrinsic geometrical symmetries--An introduction
A. Carriazo, A survey on semi-Riemannian generalized Sasakian-space-forms
B.-Y. Chen, A survey on Ricci solitons on Riemannian submanifolds
K. Enomoto and J.-I. Itoh, The total absolute curvature and the total absolute torsion of open curves in the Euclidean spaces
B. Foreman, Vertex-type curves in constant angle surfaces of $\mathcal{H}yp^2\times \mathbb{R}$
W. Goemans and I. Van de Woestyne, Clelia curves, twisted surfaces and Plucker's conoid in Euclidean and Minkowski 3-space
T. A. Ivey, Stark hypersurfaces in complex projective space
Y. H. Kim, Submanifolds related to Gauss map and some differential operators
Z. Lu and D. Wenzel, The normal Ricci curvature inequality
I. Mihai, On the generalized Winten inequality for submanifolds in complex and Sasakian space forms
Y.-L. Ou, Some recent progress of biharmonic submanifolds
A. Romero and R. M. Rubio, A nonlinear inequality involving the mean curvature of a spacelike surface in 3-dimensional GRW spacetimes and Calabi-Bernstein type problems
R. Sharma and S. Deshmukh, On Lagrangian submanifolds of the nearly Kaehler 6-sphere
J. Van der Veken, Ideal Lagrangian submanifolds
L. Vrancken, Complete Lagrangian ideal $\delta(2)$ submanifolds in the complex projective space
S. W. Wei, Comparison theorems in Riemannian geometry with applications.