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 ${\nabla}_{\varepsilon}S Keywords real hypersurface;structure Jacobi operator;Ricci tensor;Hopf hypersurface; Language English Cited by 1. SOME CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE (A) IN A NONFLAT COMPLEX SPACE FORM,;; 대한수학회보, 2007. vol.44. 1, pp.157-172 2. REAL HYPERSURFACES IN COMPLEX TWO-PLANE GRASSMANNIANS WITH COMMUTING STRUCTURE JACOBI OPERATOR,;; 대한수학회보, 2008. vol.45. 3, pp.495-507 3. CHARACTERIZATIONS OF REAL HYPERSURFACES OF TYPE A IN A NONFLAT COMPLEX SPACE FORM WHOSE STRUCTURE JACOBI OPERATOR IS ξ-PARALLEL,; 호남수학학술지, 2009. vol.31. 2, pp.185-201 4. 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