2008•Kyushu Journal of MathematicsOpen access

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

Jong Taek Cho, Makoto Kimura

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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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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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Available 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.

Key concepts: Holomorphic function, Mathematics, Complex space, Pure mathematics, Sectional curvature, Connection (principal bundle), Constant (computer programming), Space (punctuation)

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