Semi-invariant warped product submanifolds of almost contact manifolds
FR Al-Solamy, MA Khan - Journal of inequalities and applications, 2012 - Springer
FR Al-Solamy, MA Khan
Journal of inequalities and applications, 2012•SpringerIn this article, we have obtained necessary and sufficient conditions in terms of canonical
structure F on a semi-invariant submanifold of an almost contact manifold under which the
submanifold reduced to semi-invariant warped product submanifold. Moreover, we have
proved an inequality for squared norm of second fundamental form and finally, an estimate
for the second fundamental form of a semi-invariant warped product submanifold in a
generalized Sasakian space form is obtained, which extend the results of Chen, Al-Luhaibi …
structure F on a semi-invariant submanifold of an almost contact manifold under which the
submanifold reduced to semi-invariant warped product submanifold. Moreover, we have
proved an inequality for squared norm of second fundamental form and finally, an estimate
for the second fundamental form of a semi-invariant warped product submanifold in a
generalized Sasakian space form is obtained, which extend the results of Chen, Al-Luhaibi …
Abstract
In this article, we have obtained necessary and sufficient conditions in terms of canonical structure F on a semi-invariant submanifold of an almost contact manifold under which the submanifold reduced to semi-invariant warped product submanifold. Moreover, we have proved an inequality for squared norm of second fundamental form and finally, an estimate for the second fundamental form of a semi-invariant warped product submanifold in a generalized Sasakian space form is obtained, which extend the results of Chen, Al-Luhaibi et al., and Hesigawa and Mihai in a more general setting.
2000 Mathematics Subject Classification: 53C25; 53C40; 53C42; 53D15.
Springer
以上显示的是最相近的搜索结果。 查看全部搜索结果