Curvature inequalities for anti-invariant submersion from quaternionic space forms

2025/07/07 by Gupta, Kirti, Gupta, Punam, Gangele, R. K.
#53C12 #53C15 #53C26 #53C55 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2507.06259

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.

Citations

• Sharp Inequalities for Anti-Invariant Riemannian Submersions from Sasakian Space Forms
• H-anti-invariant submersions from almost quaternionic Hermitian\n manifolds

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