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Real Hypersurfaces in Complex Space Forms with Reeb Flow Symmetric Structure Jacobi Operator

Published online by Cambridge University Press:  20 November 2018

Jong Taek Cho  and
U-Hang Ki
Jong Taek Cho
Affiliation:
Department of Mathematics, Chonnam National University, Kwangju 500-757, Korea
U-Hang Ki
Affiliation:
The National Academy of Sciences, Seoul 137-044, Korea. e-mail: jtcho@chonnam.ac.kr
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Abstract

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Real hypersurfaces in a complex space form whose structure Jacobi operator is symmetric along the Reeb flow are studied. Among them, homogeneous real hypersurfaces of type $\left( A \right)$ in a complex projective or hyperbolic space are characterized as those whose structure Jacobi operator commutes with the shape operator.

Keywords

53B2053C1553C25complex space formreal hypersurfacestructure Jacobi operator
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 3 , 01 September 2008 , pp. 359 - 371
Copyright
Copyright © Canadian Mathematical Society 2008

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