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Role of shape operator in warped product submanifolds of nearly cosymplectic manifolds
Journal article   Open access  Peer reviewed

Role of shape operator in warped product submanifolds of nearly cosymplectic manifolds

Rifaqat Ali, Nadia Alluhaibi, Khaled Mohamed Khedher, Fatemah Mofarreh, Wan Ainun Mior Othman and 5 Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603 Kuala Lumpur, Malaysia
AIMS mathematics, Vol.5(6), pp.6313-6324
01/01/2020
DOI: https://doi.org/10.3934/math.2020406

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, first, we find the integrability theorems for the invariant and slant distributions which appeared in the concept of semi-slant submanifolds. Utilizing these theorems, we prove that a semi-slant submanifold reduces to be a warped product semi-slant submanifold, provided some necessary and sufficient conditions concerning the shape operators. Also, it is shown that a few earlier results are exceptional cases of this paper results.
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https://doi.org/10.3934/math.2020406View
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