Structure Jacobi Operators of Real Hypersurfaces with Constant Mean Curvature in a Complex Space Form
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 $R_{\xi}$...
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Veröffentlicht in: | Kyungpook mathematical journal 2016, Vol.56 (4), p.1207-1235 |
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Hauptverfasser: | , , |
Format: | Artikel |
Sprache: | kor |
Online-Zugang: | Volltext |
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Zusammenfassung: | 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. |
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ISSN: | 1225-6951 0454-8124 |