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Real Hypersurfaces in Hermitian Symmetric Spaces

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Hermitian symmetric spaces are an important class of manifolds that can be studied with methods from Kähler geometry and Lie theory. This work gives an introduction to Hermitian symmetric spaces and their submanifolds, and presents classifi cation results for real hypersurfaces in these spaces, focusing on results obtained by Jürgen Berndt and Young Jin Suh in the last 20 years.

Author(s): Jürgen Berndt, Young Jin Suh
Series: Advances in Analysis and Geometry, 5
Publisher: De Gruyter
Year: 2022

Language: English
Pages: 387
City: Berlin

Preface
Introduction
Contents
1 Riemannian geometry
2 Submanifolds of Riemannian manifolds
3 Real hypersurfaces in Kähler manifolds
4 Real hypersurfaces in complex 2-plane Grassmannians
5 Real hypersurfaces in complex hyperbolic 2-plane Grassmannians
6 Real hypersurfaces in complex quadrics
7 Real hypersurfaces in complex hyperbolic quadrics
8 Real hypersurfaces in Hermitian symmetric spaces
Bibliography
Index