[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2021.008

STRUCTURE JACOBI OPERATORS AND REAL HYPERSURFACES OF TYPE(A) IN COMPLEX SPACE FORMS

Ki, U-Hang (The National Academy of Sciences)

Publication Information

East Asian mathematical journal / v.37, no.1, 2021 , pp. 97-107 More about this Journal

Abstract

Let M be a real hypersurface with almost contact metric structure (��, ξ, ��, g) in a nonflat complex space form Mn(c). We denote S and Rξ by the Ricci tensor of M and by the structure Jacobi operator with respect to the vector field ξ respectively. In this paper, we prove that M is a Hopf hypersurface of type (A) in Mn(c) if it satisfies Rξ�� = ��Rξ and at the same time satisfies $({\nabla}_{{\phi}{\nabla}_{\xi}{\xi}}R_{\xi}){\xi}=0$ or Rξ��S = S��Rξ.

Keywords

real hypersurface; structure Jacobi operator; Ricci tensor; Hopf hypersurface;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
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