Optimal casorati inequalities on bi-slant submanifolds of generalized sasakian space forms

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Published: Sep 30, 2018
DOI: https://doi.org/10.5556/j.tkjm.49.2018.2638
Keywords:
Casorati curvature bi-slant submanifold generalized Sasakian space form quasi-umbilical submanifold

Main Article Content

Aliya Naaz Siddiqui

Abstract

In this paper, we use T Oprea's optimization method to establish some optimal Casorati inequalities, which involve the normalized scalar curvature for bi-slant submanifolds of generalized Sasakian space forms. In the continuation, we show that in both cases, the equalities hold if and only if submanifolds are invariantly quasi-umbilical.

Article Details

How to Cite
Siddiqui, A. N. (2018). Optimal casorati inequalities on bi-slant submanifolds of generalized sasakian space forms. Tamkang Journal of Mathematics, 49(3), 235–255. https://doi.org/10.5556/j.tkjm.49.2018.2638
Issue
Vol. 49 No. 3 (2018)
Section
Papers
Author Biography

Aliya Naaz Siddiqui

Department of Mathematics, JamiaMillia Islamia, New Delhi - 110025, India.

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