A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications

Author:

Li Yanlin1ORCID,Ali Akram2ORCID,Ali Rifaqat3

Affiliation:

1. Department of Mathematics, Hangzhou Normal University, Hangzhou 311121, China

2. Department of Mathematics, College of Science, King Khalid University, 61413 Abha, Saudi Arabia

3. Department of Mathematics, College of Science and Arts, Muhayil, King Khalid University, P.O. Box 9004, 61413 Abha, Saudi Arabia

Abstract

In the present paper, by considering the Gauss equation in place of the Codazzi equation, we derive new optimal inequality for the second fundamental form of CR-warped product submanifolds into a generalized Sasakian space form. Moreover, the inequality generalizes some inequalities for various ambient space forms.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Reference27 articles.

1. Manifolds of negative curvature

2. Another general inequality for CR-warped products in complex space forms;B. Y. Chen;Hokkaido Mathematical Journal,2003

3. Contact CR-warped product submanifolds in generalized Sasakian space forms;R. Al-Ghefari;Balkan Journal of Geometry and its Applications,2006

4. Characterization of warped product submanifolds in Kenmotsu manifolds;A. Mustafa;Balkan Journal of Geometry and its Applications,2015

5. Geometric classification of warped products isometrically immersed into Sasakian space forms

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