PSEUDO-HOLOMORPHIC SECTIONAL CURVATURES OF REAL HYPERSURFACES IN A COMPLEX SPACE FORM

Jong Taek CHO; Makoto KIMURA

doi:10.2206/kyushujm.62.75

Kyushu Journal of Mathematics

Online ISSN : 1883-2032
Print ISSN : 1340-6116
ISSN-L : 1340-6116

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PSEUDO-HOLOMORPHIC SECTIONAL CURVATURES OF REAL HYPERSURFACES IN A COMPLEX SPACE FORM

Jong Taek CHO, Makoto KIMURA

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Keywords: real hypersurfaces, complex space forms, CR-structures, pseudo-holomorphic sectional curvatures

JOURNAL FREE ACCESS

2008 Volume 62 Issue 1 Pages 75-87

DOI https://doi.org/10.2206/kyushujm.62.75

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Abstract

In this paper, we give a classification of real hypersurfaces in a non-flat complex space form such that the (pseudo-)holomorphic sectional curvatures with respect to the generalized Tanaka-Webster connection are constant.

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