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J Inequal Appl. 2018;2018(1):265. doi: 10.1186/s13660-018-1843-3. Epub 2018 Sep 27.

Geometric inequalities for warped product bi-slant submanifolds with a warping function.

Author information

1
1Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi, India.
2
2Department of Mathematics Education and RINS, Gyeongsang National University, Jinju, South Korea.

Abstract

In this paper, we prove that the squared norm of the second fundamental form for bi-slant submanifolds with any codimension of nearly trans-Sasakian manifolds is bounded below by the gradient of a warping function and also find the conditions on which the equality holds. Some related examples are also provided.

KEYWORDS:

Bi-slant submanifolds; Nearly trans-Sasakian manifolds; Warped product bi-slant submanifolds

Conflict of interest statement

The authors declare that they have no competing interests.

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