Real hypersurfaces with η-parallel shape operator in complex two-plane Grassmannians-Reference-Cited by-同舟云学术

Real hypersurfaces with η-parallel shape operator in complex two-plane Grassmannians

Published:2007-02 Issue:1 Volume:75 Page:1-16
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Choi Young Suk,Suh Young Jin

Abstract

In this paper we give a characterisation of -invariant real hypersurfaces of type A; that is, a tube over a totally geodesic G2(ℂm+1) in complex two-plane Grassmannians G2(ℂm+2) or a ruled real hypersurface foliated by complex hypersurfaces which includes a maximal totally geodesic submanifold G2(ℂm+1) in G2(ℂm+2) in terms of η-parallel shape operator.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. Real hypersurfaces in quaternionic projective space

2. Real hypersurfaces in complex two-plane Grassmannians with parallel shape operator

3. Real hypersurfaces and complex submanifolds in complex projective space

4. On some real hypersurfaces of a complex hyperbolic space

5. Real hypersurfaces in complex two-plane Grassmannians with commuting shape operator

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