Conformal vector fields on doubly warped product manifolds and applications

TL;DR

This paper investigates conformal vector fields on doubly warped product manifolds and space-times, exploring their properties and applications to Ricci solitons, providing a comprehensive classification and analysis.

Contribution

It offers a complete classification of two classes of conformal vector fields on doubly warped manifolds and studies their role in Ricci solitons, extending previous work in geometric analysis.

Findings

Classification of conformal vector fields on doubly warped manifolds

Conditions for Ricci solitons admitting these vector fields

Applications to doubly warped space-times

Abstract

In this article, we present a complete study of two disjoint classes of conformal vector fields on doubly warped product manifolds as well as on doubly warped space-times. Then we study Ricci solitons on doubly warped product manifollds admitting these types of conformal vector fields.