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

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 exampl...

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Bibliographic Details
Main Authors: Aliya Naaz Siddiqui, Mohammad Hasan Shahid, Jae Won Lee
Format: Article
Language:English
Published: SpringerOpen 2018-09-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13660-018-1843-3