Some inequalities on hemi-slant product submanifolds in a cosymplectic manifold

2012/07/10 by Khushwant Singh, Singh, Khushwant, S. S. Bhatia +1
Mathematics · #53C15 #53C25 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.1207.2257

openalex publication_date 2012/07/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Recently, M. Atcken studied Contact CR-warped prod- uct submanifolds in cosymplectic space forms and established gen- eral sharp inequalities for CR-warped products in a cosymplectic manifold [1]. In the present paper, we obtain an inequality for the squared norm of the second fundamental form in terms of constant ?ϕ-sectional curvature for hemi-slant products in cosymplectic mani- folds. An inequality for hemi-slant warped products in a cosymplectc manifold is also given. The equality case is considered.

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