Warped product submanifolds of a generalized Sasakian space form admitting nearly cosymplectic structure

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作者：
Ishan, Amira A. [1 ]
Khan, Meraj Ali [1 ]
机构：
[1] Department of Mathematics, Taif University, Saudi Arabia
来源：
Italian Journal of Pure and Applied Mathematics | 2020年 / 44卷
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摘要：
In this paper we consider semi-invariant warped product submanifolds of the type M = NT ×ψ N* of a generalized Sasakian space form M¯ (f1, f2, f3) admitting nearly cosymplectic structure and obtained a characterizing inequality (σµ(D, D*2 ≥ f2.α.β+2PD*D2 +2QD*D2) for existence of warped product submanifolds. Moreover, some special cases are also discussed. The results in the present paper generalize the existing results available in the literature. © 2020 Forum-Editrice Universitaria Udinese SRL. All rights reserved.
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页码：134 / 149
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