Slant submanifolds with prescribed scalar curvature into cosymplectic space form

被引:0
|
作者
Gupta, Ram Shankar [1 ]
Haider, S. M. Khrusheed [2 ]
Sharfuddin, A. [2 ]
机构
[1] Amity Sch Engn, Dept Math, Noida 201301, India
[2] Jamia Millia Islamia, Fac Nat Sci, Dept Biosci, New Delhi 110025, India
来源
关键词
slant submanifolds; cosymplectic space form; prescribed scalar curvature; mean curvature;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we have proved that locally there exist infinitely many three dimensional slant submanifolds with prescribed scalar curvature into cosymplectic space form (M) over bar (5) (c) with c epsilon {-4, 4}while there does not exist flat minimal proper slant surface in (M) over bar (5) (c) with c not equal 0. In section 5, we have established an inequality between mean curvature and sectional curvature of the subamnifold and have given an example which satisfies the equality sign.
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页码:54 / 65
页数:12
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