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http://dx.doi.org/10.4134/JKMS.2007.44.2.307

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

Ki, U-Hang (The National Academy of Sciences)
Perez Juan De Dios (Department de Geometria y Topologia Facultad de Ciencias Universidad de Granada)
Santos Florentino G. (Departamento de Geometria y Topologia Facultad de Ciencias Universided de Granada)
Suh Young-Jin (Department of Mathematics Kyungpook university)
Publication Information
Journal of the Korean Mathematical Society / v.44, no.2, 2007 , pp. 307-326 More about this Journal
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 $M_n(c)$ under the condition that ${\nabla}_{\varepsilon}S=0\;and\;{\nabla}_{\varepsilon}R_{\varepsilon}=0,\;where\;S\;and\;R_{\varepsilon}$ respectively denote the Ricci tensor and the structure Jacobi operator of M in $M_n(c)$.
Keywords
real hypersurface; structure Jacobi operator; Ricci tensor; Hopf hypersurface;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
Times Cited By Web Of Science : 8  (Related Records In Web of Science)
Times Cited By SCOPUS : 9
연도 인용수 순위
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