Recent Advances in the Geometry of Submanifolds

Dedicated to the Memory of Franki Dillen (1963-2013)

Häftad, Engelska, 2016

AvBogdan D. Suceava,Alfonso Carriazo,Yun Myung Oh,Joeri Van der Veken

2 809 kr

Slutsåld

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.

Produktinformation

Utgivningsdatum2016-10-30
Mått178 x 254 x undefined mm
Vikt327 g
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor207
FörlagAmerican Mathematical Society
ISBN9781470422981

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B.-Y. Chen, J. Van der Veken, and L. Vrancken, In memory of Franki DillenL. Verstraelen, Natural extrinsic geometrical symmetries--An introductionA. Carriazo, A survey on semi-Riemannian generalized Sasakian-space-formsB.-Y. Chen, A survey on Ricci solitons on Riemannian submanifoldsK. Enomoto and J.-I. Itoh, The total absolute curvature and the total absolute torsion of open curves in the Euclidean spacesB. 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-spaceT. A. Ivey, Stark hypersurfaces in complex projective spaceY. H. Kim, Submanifolds related to Gauss map and some differential operatorsZ. Lu and D. Wenzel, The normal Ricci curvature inequalityI. Mihai, On the generalized Winten inequality for submanifolds in complex and Sasakian space formsY.-L. Ou, Some recent progress of biharmonic submanifoldsA. 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 problemsR. Sharma and S. Deshmukh, On Lagrangian submanifolds of the nearly Kaehler 6-sphereJ. Van der Veken, Ideal Lagrangian submanifoldsL. Vrancken, Complete Lagrangian ideal $\delta(2)$ submanifolds in the complex projective spaceS. W. Wei, Comparison theorems in Riemannian geometry with applications.