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A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor

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In this article, we discuss the de Rham cohomology class for bislant submanifolds in nearly trans-Sasakian manifolds. Moreover, we give a classification of warped product bislant submanifolds in nearly trans-Sasakian… Click to show full abstract

In this article, we discuss the de Rham cohomology class for bislant submanifolds in nearly trans-Sasakian manifolds. Moreover, we give a classification of warped product bislant submanifolds in nearly trans-Sasakian manifolds with some nontrivial examples in the support. Next, it is of great interest to prove that there does not exist any doubly warped product bislant submanifolds other than warped product bislant submanifolds in nearly trans-Sasakian manifolds. Some immediate consequences are also obtained.

Keywords: warped product; bislant submanifolds; doubly warped; trans sasakian; nearly trans

Journal Title: Advances in Mathematical Physics
Year Published: 2021

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