Open Access
June 2011 The structure Jacobi operator for real hypersurfaces in the complex projective plane and the complex hyperbolic plane
Hiroyuki Kurihara
Tsukuba J. Math. 35(1): 53-66 (June 2011). DOI: 10.21099/tkbjm/1311081448

Abstract

Recently, we investigated real hypersurfaces in a n-dimentional complex projective space and complex hyperbolic space with respect to various structure Jacobi operator conditions. However these results necessitates dimension assumption n ≥ 3. The purpose of this paper is to study such real hypersurfaces in the complex projective plane and the complex hyperbolic plane.

Citation

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Hiroyuki Kurihara. "The structure Jacobi operator for real hypersurfaces in the complex projective plane and the complex hyperbolic plane." Tsukuba J. Math. 35 (1) 53 - 66, June 2011. https://doi.org/10.21099/tkbjm/1311081448

Information

Published: June 2011
First available in Project Euclid: 19 July 2011

zbMATH: 1223.53013
MathSciNet: MR2848815
Digital Object Identifier: 10.21099/tkbjm/1311081448

Subjects:
Primary: 53B25
Secondary: 53C15 , 53C25

Keywords: complex hyperbolic plane , complex projective plane , real hypersurface , structure Jacobi operator

Rights: Copyright © 2011 University of Tsukuba, Institute of Mathematics

Vol.35 • No. 1 • June 2011
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