Research article

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

  • Received: 18 March 2020 Accepted: 15 July 2020 Published: 07 August 2020
  • MSC : 58C40, 53C42, 35P15

  • 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.

    Citation: Rifaqat Ali, Nadia Alluhaibi, Khaled Mohamed Khedher, Fatemah Mofarreh, Wan Ainun Mior Othman. Role of shape operator in warped product submanifolds of nearly cosymplectic manifolds[J]. AIMS Mathematics, 2020, 5(6): 6313-6324. doi: 10.3934/math.2020406

    Related Papers:

  • 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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  • © 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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