Estimation of sharp geometric inequality in \(D_{\alpha}\)-homothetically deformed Kenmotsu manifolds

Mohd Danish Siddiqi; Aliya Naaz Siddiqui; Ali H. Hakami; M. Hasan

doi:10.56754/0719-0646.2503.349

DOI:

https://doi.org/10.56754/0719-0646.2503.349

Abstract

In this article, we investigate the Kenmotsu manifold when applied to a \(D_{\alpha}\)-homothetic deformation. Then, given a submanifold in a \(D_{\alpha}\)-homothetically deformed Kenmotsu manifold, we derive the generalized Wintgen inequality. Additionally, we find this inequality for submanifolds such as slant, invariant, and anti-invariant in the same ambient space.

Keywords

Normalized scalar curvature , scalar curvature , mean curvature , Dα-homothetic deformation

Mathematics Subject Classification:

34B10 , 34B15 , 11F23

Mohd Danish Siddiqi Department of Mathematics, College of Science, Jazan University, P.O. Box 277, Jazan, 45142, Saudi Arabia. https://orcid.org/0000-0002-1713-6831
Aliya Naaz Siddiqui Division of Mathematics, School of Basic Sciences, Galgotias University, Greater Noida, Uttar Pradesh 203201, India. https://orcid.org/0000-0003-3895-7548
Ali H. Hakami Department of Mathematics, Faculty of Sciences, Jazan University, P.O. Box 277, Jazan, 45142, Saudi Arabia.
M. Hasan Department of Mathematics, Faculty of Sciences, Jazan University, P.O. Box 277, Jazan, 45142, Saudi Arabia.

Pages: 349–361
Date Published: 2023-11-30
Vol. 25 No. 3 (2023)

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