Pseudo-slant submanifolds in cosymplectic space forms

被引：2
|
作者：
Dirik, Suleyman [1 ]
Atceken, Mehmet [2 ]
机构：
[1] Amasya Univ, Fac Arts & Sci, Dept Stat, Amasya, Turkey
[2] Gaziosmanpasa Univ, Fac Arts & Sci, Dept Math, Tokat, Turkey
来源：
ACTA UNIVERSITATIS SAPIENTIAE-MATHEMATICA | 2016年 / 8卷 / 01期
关键词：
cosymplectic manifold; cosymplectic space form; pseudo-slant submanifold;
D O I：
10.1515/ausm-2016-0004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the geometry of the pseudo-slant submanifolds of a cosymplectic space form. Necessary and sufficient conditions are given for a submanifold to be a pseudo-slant submanifold, pseudo-slant product, mixed geodesic and totally geodesic in cosymplectic manifolds. Finally, we give some results for totally umbilical pseudo slant submanifold in a cosymplectic manifold and cosymplectic space form.
引用
收藏
页码：53 / 74
页数：22
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