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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, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlamp:v:2021:y:2021:i:1:n:5777554
    DOI: 10.1155/2021/5777554
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    References listed on IDEAS

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    1. Ali Akram & Laurian‐Ioan Pişcoran, 2019. "Geometric classification of warped products isometrically immersed into Sasakian space forms," Mathematische Nachrichten, Wiley Blackwell, vol. 292(2), pages 234-251, February.
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