REAL HYPERSURFACES IN COMPLEX SPACE FORMS WITH ε-PARALLEL RICCI TENSOR AND STRUCTURE JACOBI OPERATOR

Title & Authors
REAL HYPERSURFACES IN COMPLEX SPACE FORMS WITH ε-PARALLEL RICCI TENSOR AND STRUCTURE JACOBI OPERATOR
Ki, U-Hang; Perez Juan De Dios; Santos Florentino G.; Suh Young-Jin;

Abstract
We know that there are no real hypersurfaces with parallel Ricci tensor or parallel structure Jacobi operator in a nonflat complex space form (See [4], [6], [10] and [11]). In this paper we investigate real hypersurfaces M in a nonflat complex space form $\small{M_n(c)}$ under the condition that $\small{{\nabla}_{\varepsilon}S=0\;and\;{\nabla}_{\varepsilon}R_{\varepsilon}=0,\;where\;S\;and\;R_{\varepsilon}}$ respectively denote the Ricci tensor and the structure Jacobi operator of M in $\small{M_n(c)}$.
Keywords
real hypersurface;structure Jacobi operator;Ricci tensor;Hopf hypersurface;
Language
English
Cited by
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대한수학회보, 2008. vol.45. 3, pp.495-507
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2.
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