Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Image from Google Jackets

Recent advances in the geometry of submanifolds dedicated to the memory of Franki Dillen (1963-2013) / [edited by] Bogdan D. Suceava...[et al.].

By: Contributor(s): Material type: TextTextSeries: Contemporary mathematics ; 674Publication details: Providence : American Mathematical Society, ©2016.Description: ix, 209 pages : illustrations ; 26 cmISBN:
  • 9781470422981 (alk. paper)
Subject(s): DDC classification:
  • 510 23 Am512c
Contents:
In memory of Franki Dillen / Bang-Yen Chen, Joeri Van der Veken and Luc Vrancken -- Natural extrinsic geometrical symmetries -- an introduction -- / Leopold Verstraelen -- A survey on semi-Riemannian generalized Sasakian-space-forms / Alfonso Carriazo -- A survey on Ricci solitons on Riemannian submanifolds / Bang-Yen Chen -- The total absolute curvature and the total absolute torsion of open curves in the Euclidean spaces / Kazuyuki Enomoto and Jin-ichi Itoh -- Vertex-type curves in constant angle surfaces of $\mathcal {H}yp^2\times \mathbb {R}$ / Brendan Foreman -- Clelia curves, twisted surfaces and Plücker's conoid in Euclidean and Minkowski 3-space / Wendy Goemans and Ignace Van de Woestyne -- Stark hypersurfaces in complex projective space / Thomas A. Ivey -- Submanifolds related to Gauss map and some differential operators / Young Ho Kim -- The normal Ricci curvature inequality / Zhiqin Lu and David Wenzel -- On the generalized Wintgen inequality for submanifolds in complex and Sasakian space forms / Ion Mihai -- Some recent progress of biharmonic submanifolds / Ye-Lin Ou -- A nonlinear inequality involving the mean curvature of a spacelike surface in 3-dimensional GRW spacetimes and Calabi-Bernstein type problems / Alfonso Romero and Rafael M. Rubio -- On Lagrangian submanifolds of the nearly Kaehler 6-sphere / Ramesh Sharma and Sharief Deshmukh -- Ideal Lagrangian submanifolds / Joeri Van der Veken -- Complete Lagrangian ideal $\delta (2)$ submanifolds in the complex projective space / Luc Vrancken -- Comparison Theorems in Riemannian Geometry with Applications / Shihshu Walter Wei --
Summary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 510 Am512c (Browse shelf(Opens below)) Available 137635
Total holds: 0

Includes bibliographical references.

In memory of Franki Dillen / Bang-Yen Chen, Joeri Van der Veken and Luc Vrancken --
Natural extrinsic geometrical symmetries --
an introduction --
/ Leopold Verstraelen --
A survey on semi-Riemannian generalized Sasakian-space-forms / Alfonso Carriazo --
A survey on Ricci solitons on Riemannian submanifolds / Bang-Yen Chen --
The total absolute curvature and the total absolute torsion of open curves in the Euclidean spaces / Kazuyuki Enomoto and Jin-ichi Itoh --
Vertex-type curves in constant angle surfaces of $\mathcal {H}yp^2\times \mathbb {R}$ / Brendan Foreman --
Clelia curves, twisted surfaces and Plücker's conoid in Euclidean and Minkowski 3-space / Wendy Goemans and Ignace Van de Woestyne --
Stark hypersurfaces in complex projective space / Thomas A. Ivey --
Submanifolds related to Gauss map and some differential operators / Young Ho Kim --
The normal Ricci curvature inequality / Zhiqin Lu and David Wenzel --
On the generalized Wintgen inequality for submanifolds in complex and Sasakian space forms / Ion Mihai --
Some recent progress of biharmonic submanifolds / Ye-Lin Ou --
A nonlinear inequality involving the mean curvature of a spacelike surface in 3-dimensional GRW spacetimes and Calabi-Bernstein type problems / Alfonso Romero and Rafael M. Rubio --
On Lagrangian submanifolds of the nearly Kaehler 6-sphere / Ramesh Sharma and Sharief Deshmukh --
Ideal Lagrangian submanifolds / Joeri Van der Veken --
Complete Lagrangian ideal $\delta (2)$ submanifolds in the complex projective space / Luc Vrancken --
Comparison Theorems in Riemannian Geometry with Applications / Shihshu Walter Wei --

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.

There are no comments on this title.

to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in