# On anti-invariant semi-Riemannian submersions from Lorentzian (para)Sasakian manifolds

## TL;DR

This paper investigates conditions for semi-Riemannian submersions from Lorentzian (para)Sasakian manifolds, providing decomposition theorems and criteria for the characteristic vector field's orientation.

## Contribution

It establishes necessary and sufficient conditions for the characteristic vector field to be vertical or horizontal in such submersions and derives decomposition theorems.

## Key findings

- Criteria for the characteristic vector field orientation
- Decomposition theorems for submersions from Lorentzian (para)Sasakian manifolds
- Conditions for anti-invariant semi-Riemannian submersions

## Abstract

In this paper we study a semi-Riemannian submersion from Lorentzian (para)almost contact manifolds and find necessary and sufficient conditions for the characteristic vector field to be vertical or horizontal. We also obtain decomposition theorems for an anti-invariant semi-Riemannian submersion from Lorentzian (para)Sasakian manifolds onto a Lorentzian manifold.