# On semi-slant $\xi^\perp-$Riemannian submersions

## TL;DR

This paper introduces and studies semi-slant 0-0-Riemannian submersions from Sasakian manifolds, generalizing existing submersion types, and explores their geometric properties, conditions for base manifolds, and examples.

## Contribution

It defines semi-slant 0-0-Riemannian submersions, characterizes their geometry, and establishes conditions for base manifolds to be locally product, totally umbilical, or totally geodesic.

## Key findings

- Characterization of semi-slant 0-0-Riemannian submersions
- Conditions for base manifold to be locally product
- Examples illustrating the submersions

## Abstract

The aim of the present paper to define and study semi-slant $\xi^\perp-$Riemannian submersions from Sasakian manifolds onto Riemannian manifolds as a generalization of anti-invariant $\xi^\perp-$Riemannian submersions, semi-invariant $\xi^\perp-$Riemannian submersions and slant Riemannian submersions. We obtain characterizations, investigate the geometry of foliations which arise from the definition of this new submersion. After we investigate the geometry of foliations, we obtain necessary and sufficient condition for base manifold to be a locally product manifold and proving new conditions to be totally umbilical and totally geodesicness, respectively. Moreover, some examples of such submersions are mentioned.