REAL HYPERSURFACES IN COMPLEX SPACE FORMS WITH ε-PARALLEL RICCI TENSOR AND STRUCTURE JACOBI OPERATOR
2007; Korean Mathematical Society; Volume: 44; Issue: 2 Linguagem: Inglês
10.4134/jkms.2007.44.2.307
ISSN2234-3008
AutoresU-Hang Ki, Juan de Dios Pérez, Florentino G. Santos, Young-Jin Suh,
Tópico(s)Advanced Mathematical Theories and Applications
ResumoWe 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 $M_n(c)$ .
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