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

Published online by Cambridge University Press:  17 April 2009

Young Suk Choi  and
Young Jin Suh
Young Suk Choi
Affiliation:
Department of Mathematics, Kyungpook National University, Taegu 702–701, Korea, e-mail: yjsuh@mail.knu.ac.kr
Young Jin Suh
Affiliation:
Department of Mathematics, Kyungpook National University, Taegu 702–701, Korea, e-mail: yjsuh@mail.knu.ac.kr
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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 75 , Issue 1 , February 2007 , pp. 1 - 16
Copyright
Copyright © Australian Mathematical Society 2007

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