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

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Abstract

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.

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Data Availability Statement

The authors declare that this research is purely theoretical and does not associate with any datas.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Srinagar, Srinagar, Kashmir, 190006, India

    Mehraj Ahmad Lone & Towseef Ali Wani

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  1. Mehraj Ahmad Lone
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Lone, M.A., Wani, T.A. On Optimal Inequalities for Anti-invariant Riemannian Submersions from Conformal Sasakian Space Forms. Adv. Appl. Clifford Algebras 34, 8 (2024). https://doi.org/10.1007/s00006-023-01312-9

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