Tsukuba Journal of Mathematics

The structure Jacobi operator for real hypersurfaces in the complex projective plane and the complex hyperbolic plane

Hiroyuki Kurihara

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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.

Article information

Source
Tsukuba J. Math., Volume 35, Number 1 (2011), 53-66.

Dates
First available in Project Euclid: 19 July 2011

Permanent link to this document
https://projecteuclid.org/euclid.tkbjm/1311081448

Digital Object Identifier
doi:10.21099/tkbjm/1311081448

Mathematical Reviews number (MathSciNet)
MR2848815

Zentralblatt MATH identifier
1223.53013

Subjects
Primary: 53B25: Local submanifolds [See also 53C40]
Secondary: 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)

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

Citation

Kurihara, Hiroyuki. The structure Jacobi operator for real hypersurfaces in the complex projective plane and the complex hyperbolic plane. Tsukuba J. Math. 35 (2011), no. 1, 53--66. doi:10.21099/tkbjm/1311081448. https://projecteuclid.org/euclid.tkbjm/1311081448


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