Every Totally Umbilical Proper Slant Submanifold of a K?hler Manifold is Totally Geodesic

Bayram ?ahin

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Every Totally Umbilical Proper Slant Submanifold of a K?hler Manifold is Totally Geodesic

机译：K？hler流形的每个完全脐带适当倾斜子流形都是完全测地线

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摘要

We prove that there do not exist totally umbilical proper slant submanifolds in K?hler manifolds other than totally geodesic proper slant submanifolds.

机译：我们证明，除了完全测地的固有倾斜子流形之外，在K？hler流形中不存在完全脐带的固有倾斜子流形。

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来源
《Results in Mathematics》 |2009年第2期|167-172|共6页
作者
Bayram ?ahin;
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作者单位

Department of Mathematics Inonu University Malatya 44280 Turkey;

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原文格式 PDF
正文语种 eng
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关键词
Primary 53C42; Secondary 53C15; K?hler manifold; slant submanifold;

机译：一级53C42;二级53C15;Khhler流形;倾斜子流形;

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专利

1. Every Totally Umbilical Proper Slant Submanifold of a Kahler Manifold is Totally Geodesic [J] . Sahin Bayram Results in mathematics . 2009,第1a2期

机译：Kahler流形的每个完全脐带适当倾斜子流形都是完全测地线
2. Some classification results on totally umbilical proper slant and hemi-slant submanifolds of a nearly Kenmotsu manifold [J] . Siraj Uddin, Cenap Ozel, M. A. Khan, International Journal of Physical Sciences . 2013,第40期

机译：关于近Kenmotsu流形的完全脐带固有斜和半斜子流形的一些分类结果
3. Totally umbilical proper slant submanifolds of para-Kenmotsu manifold [J] . Siddesha M.S., Bagewadi C.S., Nirmala D. Cubo : A Mathematical Journal . 2019,第2期

机译：对-Kenmotsu流形的完全脐带适当的倾斜子流形
4. ON TOTALLY UMBILICAL AND SCREEN TOTALLY UMBILICAL RADICAL TRANSVERSAL LIGHTLIKE HYPERSURFACES OF K?HLER-NORDEN MANIFOLDS [C] . Galia NAKOVA International Colloquium on Differential Geometry and its Related Fields . 2016

机译：在完全脐带和屏幕上完全脐科横向透光k？hler-norden歧管
5. Totally real parallel submanifolds in p＾n（C） [D] . Naito, Hiroo 1981

机译：p ＾ n（C）中的完全实数并行子流形
6. Geometric inequalities for warped product bi-slant submanifolds with a warping function [O] . Aliya Naaz Siddiqui, Mohammad Hasan Shahid, Jae Won Lee -1

机译：具有翘曲函数的翘曲产品双斜子流形的几何不等式
7. Totally umbilical proper slant submanifolds of para-Kenmotsu manifold [O] . M.S. Siddesha, C.S. Bagewadi, D. Nirmala 2019

机译：全部脐带适当的Para-Kenmotsu歧管

Every Totally Umbilical Proper Slant Submanifold of a K?hler Manifold is Totally Geodesic

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