Real hypersurfaces in hermitian symmetric spaces

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, focu...

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Bibliographic Details
Main Author: Berndt, Jürgen
Other Authors: Suh, Young Jin
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter Mouton 2022, ©2022
Series:Advances in analysis and geometry
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
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505 0 |a 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 
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520 3 |a 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. Combines the topic of Hermitian symmetric spaces with submanifolds - a classical topic in differential geometry. Focuses on results. Includes projective spaces, complex Grassmannians and complex quadrics.