Conformal Warped Product Submersion

TL;DR

This paper extends the concept of warped product submersion in Riemannian geometry to the conformal case, introducing conformal warped product submersions that preserve angles and deriving their fundamental tensors.

Contribution

It introduces the notion of conformal warped product submersion and derives fundamental tensors, generalizing existing Riemannian warped product submersion theory.

Findings

Defined conformal warped product submersion

Derived fundamental tensors for the new class

Extended geometric understanding of submersions

Abstract

In this paper, the concept of Riemannian warped product submersion is generalized to the conformal case. We introduce the notion of conformal warped product submersion. It is a submersion between warped product manifolds that preserves angles between the horizontal vectors. The fundamental tensors of submersion are derived for conformal warped product submersion.