Estimation of sharp geometric inequality in Dα-homothetically deformed Kenmotsu manifolds

Abstract In this article, we investigate the Kenmotsu manifold when applied to a Dα-homothetic deformation. Then, given a submanifold in a Dα-homothetically deformed Kenmotsu manifold, we derive the generalized Wintgen inequality. Additionally, we find this inequality for submanifolds such as slant,...

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Bibliographic Details
Published in:Cubo (Temuco, Chile) Chile), 2023-12, Vol.25 (3), p.349-361
Main Authors: Siddiqi, Mohd. Danish, Siddiqui, Aliya Naaz, Hakami, Ali H., Hasan, M.
Format: Article
Language:eng ; por
Subjects:
MATHEMATICS
MATHEMATICS, APPLIED
Online Access:Get full text
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Summary:Abstract In this article, we investigate the Kenmotsu manifold when applied to a Dα-homothetic deformation. Then, given a submanifold in a Dα-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.
ISSN:0719-0646
0719-0646
DOI:10.56754/0719-0646.2503.349