A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor
Author(s) -
Ali H. Alkhaldi,
Aliya Naaz Sıddıquı,
Kamran Ahmad,
Akram Ali
Publication year - 2021
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2021/5065333
Subject(s) - pure mathematics , product (mathematics) , mathematics , manifold (fluid mechanics) , cohomology , class (philosophy) , geometry , computer science , artificial intelligence , engineering , mechanical engineering
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.
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