Semi-invariant warped product submanifolds of cosymplectic manifolds

Journal of inequalities and applications

Meraj Ali Khan¹ 

关键词: warped product;    semi-invariant submanifold;    canonical structure;    cosymplectic manifold;   

DOI  :  10.1186/1029-242X-2012-19

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, we obtain the necessary and sufficient conditions that the semi-invariant submanifold to be a locally warped product submanifold of invariant and anti-invariant submanifolds of a cosymplectic manifold in terms of canonical structures T and F. The inequality and equality cases are also discussed for the squared norm of the second fundamental form in terms of the warping function. 2000 AMS Mathematics Subject Classification: 53C25; 53C40; 53C42; 53D15.

【 授权许可】

CC BY