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arXiv · 2507.06259

Curvature inequalities for anti-invariant submersion from quaternionic space forms

Kirti Gupta·Punam Gupta·R. K. Gangele
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Abstract

This paper focuses on deriving several curvature inequalities involving the Ricci and scalar curvatures of the horizontal and vertical distributions in anti-invariant Riemannian submersions from quaternionic space forms onto Riemannian manifolds. In addition, a Ricci curvature inequality for anti-invariant Riemannian submersions is established. The equality cases for all derived inequalities are also examined.

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Kirti Gupta, Punam Gupta, R. K. Gangele. 2025-07-07. Curvature inequalities for anti-invariant submersion from quaternionic space forms. https://arxiv.org/abs/2507.06259

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