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

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 ambi...

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Bibliographic Details
Published in:Advances in mathematical physics 2021-08, Vol.2021, p.1-6
Main Authors: Li, Yanlin, Ali, Akram, Ali, Rifaqat
Format: Article
Language:English
Subjects:
Gauss equation
Inequality
Manifolds (mathematics)
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Summary: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.
ISSN:1687-9120
1687-9139
DOI:10.1155/2021/5777554