This article is cited in 1 paper

On the normal Jacobi operator of $CR$-hypersurfaces in conformal Kenmotsu space forms

R. Abdi, E. Abedi

Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran

Abstract: We study the $CR$-hypersurfaces of a conformal Kenmotsu space form with a $\xi$-parallel normal Jacobi operator. We also present an illustrative example of a three-dimensional conformal Kenmotsu manifold that is not Kenmotsu.

Keywords: Kenmotsu manifold, conformal Kenmotsu manifold, conformal Kenmotsu space form.

UDC: 514.75

MSC: 35R30

Received: 17.03.2016

DOI: 10.17377/smzh.2017.58.601

 English version: Siberian Mathematical Journal, 2017, 58:6, 923–931

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