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

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  • Yanlin Li
  • Akram Ali
  • Rifaqat Ali

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.

Suggested Citation

  • Yanlin Li & Akram Ali & Rifaqat Ali, 2021. "A General Inequality for CR-Warped Products in Generalized Sasakian Space Form and Its Applications," Advances in Mathematical Physics, Hindawi, vol. 2021, pages 1-6, August.
    • Handle: RePEc:hin:jnlamp:5777554
    DOI: 10.1155/2021/5777554
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    Cited by:

    1. Mohd Aquib & Meraj Ali Khan & Adela Mihai & Ion Mihai, 2022. "Some Pinching Results for Bi-Slant Submanifolds in S -Space Forms," Mathematics, MDPI, vol. 10(9), pages 1-18, May.

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