# Sharp Inequalities for Anti-Invariant Riemannian Submersions from Sasakian Space Forms

## TL;DR

This paper establishes precise inequalities relating Ricci and scalar curvatures for anti-invariant Riemannian submersions originating from Sasakian space forms, enhancing understanding of their geometric properties.

## Contribution

It introduces sharp curvature inequalities specifically for anti-invariant Riemannian submersions from Sasakian space forms, a novel focus in differential geometry.

## Key findings

- Derived optimal inequalities involving Ricci and scalar curvatures.
- Characterized conditions for equality cases in the inequalities.
- Extended geometric understanding of submersions from Sasakian space forms.

## Abstract

We obtain sharp inequalities involving the Ricci curvature and the scalar curvature for anti-invariant Riemannian submersions from Sasakian space forms onto Riemannian manifolds.