Curvature inequalities for anti-invariant submersion from quaternionic space forms
Differential Geometry
2025-07-10 v1
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.
Cite
@article{arxiv.2507.06259,
title = {Curvature inequalities for anti-invariant submersion from quaternionic space forms},
author = {Kirti Gupta and Punam Gupta and R. K. Gangele},
journal= {arXiv preprint arXiv:2507.06259},
year = {2025}
}
Comments
arXiv admin note: text overlap with arXiv:2506.15099