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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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.
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Language:eng ; por
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Siddiqui, Aliya Naaz
Hakami, Ali H.
Hasan, M.
description 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.
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title Estimation of sharp geometric inequality in Dα-homothetically deformed Kenmotsu manifolds
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