Chen–Ricci inequality for anti-invariant Riemannian submersions from conformal Kenmotsu space form

The aim of this paper is twofold: first, we obtain various curvature inequalities which involve the Ricci and scalar curvatures of horizontal and vertical distributions of anti-invariant Riemannian submersion defined from conformal Kenmotsu space form onto a Riemannian manifold. Second, we obtain th...

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Bibliographic Details
Published in:Arabian journal of mathematics 2024-08, Vol.13 (2), p.425-439
Main Authors: Wani, Towseef Ali, Lone, Mehraj Ahmad
Format: Article
Language:English
Subjects:
53C12
53C25
53C40
Curvature
Fields (mathematics)
Inequalities
Invariants
Mathematics
Mathematics and Statistics
Riemann manifold
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Summary:The aim of this paper is twofold: first, we obtain various curvature inequalities which involve the Ricci and scalar curvatures of horizontal and vertical distributions of anti-invariant Riemannian submersion defined from conformal Kenmotsu space form onto a Riemannian manifold. Second, we obtain the Chen–Ricci inequality for the said Riemannian submersion. The equality cases of all the inequalities are studied. Moreover, these curvature inequalities are studied under two different cases: the structure vector field ξ being vertical or horizontal.
ISSN:2193-5343
2193-5351
2193-5351
DOI:10.1007/s40065-024-00462-3