On Optimal Inequalities for Anti-invariant Riemannian Submersions from Conformal Sasakian Space Forms

The aim of this paper is two-fold. First, we obtain various inequalities which involve the Ricci and scalar curvatures of horizontal and vertical distributions of anti-invariant Riemannian submersion defined from conformal Sasakian space form onto a Riemannian manifold. Second, we obtain the Chen–Ri...

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Veröffentlicht in:	Advances in applied Clifford algebras 2024-02, Vol.34 (1), Article 8
Hauptverfasser:	Lone, Mehraj Ahmad, Wani, Towseef Ali
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Inequalities Invariants Mathematical and Computational Physics Mathematical Methods in Physics Physics Physics and Astronomy Riemann manifold Theoretical
Online-Zugang:	Volltext
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Zusammenfassung:	The aim of this paper is two-fold. First, we obtain various inequalities which involve the Ricci and scalar curvatures of horizontal and vertical distributions of anti-invariant Riemannian submersion defined from conformal Sasakian space form onto a Riemannian manifold. Second, we obtain the Chen–Ricci inequality for the said Riemannian submersion.
ISSN:	0188-7009 1661-4909
DOI:	10.1007/s00006-023-01312-9