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REAL HYPERSURFACES WITH CYCLIC-PARALLEL STRUCTURE JACOBI OPERATORS IN A NONFLAT COMPLEX SPACE FORM

Part of: Local differential geometry Global differential geometry

Published online by Cambridge University Press:  21 October 2009

U-HANG KI  and
HIROYUKI KURIHARA
U-HANG KI
Affiliation:
Department of Mathematics, Kyungpook National University, Daegu 702-701, Korea (email: uhangki2005@yahoo.co.kr)
HIROYUKI KURIHARA*
Affiliation:
Department of Liberal Arts and Engineering Sciences, Hachinohe National College of Technology, Hachinohe, Aomori 039-1192, Japan (email: kurihara-g@hachinohe-ct.ac.jp)
*
✉For correspondence; e-mail: kurihara-g@hachinohe-ct.ac.jp
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Abstract

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It is known that there are no real hypersurfaces with parallel structure Jacobi operators in a nonflat complex space form. In this paper, we classify real hypersurfaces in a nonflat complex space form whose structure Jacobi operator is cyclic-parallel.

Keywords

complex space formreal hypersurfacestructure Jacobi operatorcyclic-parallel

MSC classification

Secondary: 53B25: Local submanifolds 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 2 , April 2010 , pp. 260 - 273
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

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