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E-raamat: Recent Advances in the Geometry of Submanifolds

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  • Formaat: 209 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-Jun-2017
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9781470435325
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  • Formaat: 209 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 01-Jun-2017
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9781470435325
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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.
Preface vii
In memory of Franki Dillen (a biography)
1(4)
Bang-Yen Chen
Joeri Van der Veken
Luc Vrancken
Natural extrinsic geometrical symmetries, an introduction
5(12)
Leopold Verstraelen
A survey on semi-Riemannian generalized Sasakian-space-forms
17(10)
Alfonso Carriazo
A survey on Ricci solitons on Riemannian submanifolds
27(14)
Bang-Yen Chen
The total absolute curvature and the total absolute torsion of open curves in the Euclidean spaces
41(8)
Kazuyuki Enomoto
Jin-ichi Itoh
Vertex-type curves in constant angle surfaces of Hyp2 × R
49(10)
Brendan Foreman
Clelia curves, twisted surfaces and Plucker's conoid in Euclidean and Minkowski 3-space
59(16)
Wendy Goemans
Ignace Van de Woestyne
Stark hypersurfaces in complex projective space
75(14)
Thomas A. Ivey
Submanifolds related to Gauss map and some differential operators
89(10)
Young Ho Kim
The normal Ricci curvature inequality
99(12)
Zhiqin Lu
David Wenzel
On the generalized Wintgen inequality for submanifolds in complex and Sasakian space forms
111(16)
Ion Mihai
Some recent progress of biharmonic submanifolds
127(14)
Ye-Lin Ou
A nonlinear inequality involving the mean curvature of a spacelike surface in 3-dimensional GRW spacetimes and Calabi-Bernstein type problems
141(12)
Alfonso Romero
Rafael M. Rubio
On Lagrangian submanifolds of the nearly Kaehler 6-sphere
153(8)
Ramesh Sharma
Sharief Deshmukh
Ideal Lagrangian submanifolds
161(14)
Joeri Van der Veken
Complete Lagrangian ideal δ(2) submanifolds in the complex projective space
175(10)
Luc Vrancken
Comparison theorems in Riemannian geometry with applications
185
Shihshu Walter Wei
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.