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http://dx.doi.org/10.5666/KMJ.2016.56.4.1207

Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space Form  

Hwang, Tae Yong (Department of Mathematics Chosun University)
Ki, U-Hang (The National Academy of Siences)
Kurihara, Hiroyuki (The College of Education, Ibaraki University)
Publication Information
Kyungpook Mathematical Journal / v.56, no.4, 2016 , pp. 1207-1235 More about this Journal
Abstract
Let M be a real hypersurface with constant mean curvature in a complex space form $M_n(c),c{\neq}0$. In this paper, we prove that if the structure Jacobi operator $R_{\xi}= R({\cdot},{\xi}){\xi}$ with respect to the structure vector field ${\xi}$ is ${\phi}{\nabla}_{\xi}{\xi}$-parallel and $R_{\xi}$ commute with the structure tensor field ${\phi}$, then M is a homogeneous real hypersurface of Type A.
Keywords
complex space form; real hypersurface; structure Jacobi operator; mean curvature;
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Times Cited By KSCI : 2  (Citation Analysis)
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