# Clairaut anti-invariant submersions from normal almost contact metric manifolds

## TL;DR

This paper explores specific geometric conditions called Clairaut conditions for anti-invariant submersions from normal almost contact metric manifolds, revealing new theoretical insights and limitations, especially in Sasakian manifolds.

## Contribution

It introduces new Clairaut conditions for anti-invariant submersions and proves the non-existence of such submersions with vertical Reeb vector fields in Sasakian manifolds.

## Key findings

- No Clairaut anti-invariant submersion admits vertical Reeb vector field in Sasakian manifolds.
- Provides illustrative examples of the studied submersions.
- Establishes theoretical conditions for anti-invariant submersions from normal almost contact metric manifolds.

## Abstract

We investigate new Clairaut conditions for anti-invariant submersions from normal almost contact metric manifolds onto Riemannian manifolds. We prove that there is no Clairaut anti-invariant submersion admitting vertical Reeb vector field when the total manifold is Sasakian. Several illustrative examples are also included.