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Keywords = contact pseudo-slant submanifold

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13 pages, 305 KiB  
Article
Some Basic Inequalities on (ϵ)-Para Sasakian Manifold
by Majid Ali Choudhary, Mohammad Nazrul Islam Khan and Mohd Danish Siddiqi
Symmetry 2022, 14(12), 2585; https://doi.org/10.3390/sym14122585 - 7 Dec 2022
Cited by 6 | Viewed by 1754
Abstract
We propose fundamental inequalities for contact pseudo-slant submanifolds of (ϵ)-para Sasakian space form employing generalized normalized δ-Casorati curvature. We characterize submanifolds for which equality cases hold and illustrate the main result with some applications. Further, we have considered a [...] Read more.
We propose fundamental inequalities for contact pseudo-slant submanifolds of (ϵ)-para Sasakian space form employing generalized normalized δ-Casorati curvature. We characterize submanifolds for which equality cases hold and illustrate the main result with some applications. Further, we have considered a certain type of submanifold for a Ricci soliton and after computing its scalar curvature, developed an inequality to find correlations between intrinsic or extrinsic invariants. Full article
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