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Title Real and complex submanifolds : Daejeon, Korea, August 2014 / Young Jin Suh, Jürgen Berndt, Yoshihiro Ohnita, Byung Hak Kim, Kyunjin Lee, editors
Published Tokyo : Springer, [2014]
©2014

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Description 1 online resource
Series Springer Proceedings in mathematics & statistics ; volume 106
Springer proceedings in mathematics & statistics ; volume 106.
Contents ""Preface""; ""Organization""; ""Committees""; ""Contents""; ""Part I Plenary Talks""; ""Generalizations of the Catenoid and the Helicoid""; ""1 Historical Remarks""; ""2 Quasi-umbilicity""; ""3 Generalized Catenoids""; ""4 Lagrangian Catenoids""; ""5 A Generalized Helicoid""; ""6 A Lagrangian Helicoid""; ""References""; ""Harmonic Functions and Parallel Mean Curvature Surfaces""; ""1 Introduction""; ""2 Surfaces in a Complex Space Form""; ""3 Known Results""; ""4 The Case Where a â? ""; ""References""
""A New Technique for the Study of Complete Maximal Hypersurfaces in Certain Open Generalized Robertson�Walker Spacetimes""""1 Introduction""; ""2 Parabolicity of Riemannian Manifolds""; ""3 Set Up""; ""4 Parabolicity of Spacelike Hypersurfaces""; ""5 The Restriction of the Warping Function on M""; ""6 Uniqueness Results in the Parametric Case""; ""7 Calabi�Bernstein Type Problems""; ""References""; ""Totally Geodesic Submanifolds of Riemannian Symmetric Spaces""; ""1 Introduction""; ""2 Totally Geodesic Submanifolds""; ""3 Riemannian Symmetric Spaces""; ""4 Lie Triple Systems""
""5 The Index of Riemannian Symmetric Spaces""""References""; ""Canonical Connection on Contact Manifolds""; ""1 Introduction""; ""2 Review of the Canonical Connection of Almost KÃ?hler Manifold""; ""3 Definition of the Contact Triad Connection and Its Consequences""; ""4 Proof of the Uniqueness of the Contact Triad Connection""; ""5 Properties of the Levi-Civita Connection on Contact Manifolds""; ""6 Existence of the Contact Triad Connection""; ""6.1 Modification 1; tmp; 1""; ""6.2 Modification 2; tmp; 2""; ""References""
""Recent Progress in Isoparametric Functions and Isoparametric Hypersurfaces""""1 Introduction""; ""2 Exotic Spheres and Isoparametric Functions""; ""3 Yau Conjecture on the First Eigenvalue and Isoparametric Foliations""; ""4 Related Topics and Applications""; ""References""; ""Part II Invited Talks""; ""Information Geometry of Barycenter Map""; ""1 Introduction""; ""2 Barycenter and Barycenter Map""; ""3 Fibre Space Structure of P+(â??X, d Î?)""; ""4 Barycentrically Associated Maps""; ""References""; ""Stability of Complete Minimal Lagrangian Submanifold and L2 Harmonic 1-Forms""
""1 Introduction""""2 Proof of Theorem 1""; ""3 Surface case""; ""References""; ""Bonnesen-Style Symmetric Mixed Isoperimetric Inequality""; ""1 Introductions and Preliminaries""; ""2 The Containment Measure""; ""3 The Symmetric Mixed Isoperimetric Inequality""; ""4 Reverse Bonnesen Style Symmetric Mixed Inequalities""; ""References""; ""Cho Operators on Real Hypersurfaces in Complex Projective Space""; ""1 Introduction""; ""2 Case of Shape Operator""; ""3 Case of Structure Jacobi Operator""; ""References""; ""Geometry of Lagrangian Submanifolds Related to Isoparametric Hypersurfaces""
Summary Edited in collaboration with the Grassmann Research Group, this book contains many important articles delivered at the ICM 2014 Satellite Conference and the 18th International Workshop on Real and Complex Submanifolds, which was held at the National Institute for Mathematical Sciences, Daejeon, Republic of Korea, August 10-12, 2014. The book covers various aspects of differential geometry focused on submanifolds, symmetric spaces, Riemannian and Lorentzian manifolds, and Kh̃ler and Grassmann manifolds
Analysis wiskunde
mathematics
differentiaalmeetkunde
differential geometry
topologie
topology
Mathematics (General)
Wiskunde (algemeen)
Subject Submanifolds -- Congresses
MATHEMATICS -- Geometry -- General.
Submanifolds
Genre/Form proceedings (reports)
Conference papers and proceedings
Conference papers and proceedings.
Actes de congrès.
Form Electronic book
Author Suh, Young Jin, editor
Berndt, Jürgen, editor
Ohnita, Yoshihiro, editor
Kim, Byung Hak, editor
Lee, Hyunjin, editor
ISBN 9784431552154
4431552154
9784431552598
4431552596
9784431552161
4431552162