Conformal gradient Ricci soliton on twisted product manifolds

Abstract

The concept of a conformal Ricci soliton generalizes that of a Ricci soliton. Notably the conformal
Ricci soliton equation is closely aligns with the structure of conformal Ricci flow equation. This paper aims
to characterize Riemannian manifolds that admit a conformal gradient Ricci soliton. Furthermore, we
present methods for constructing such manifolds in the context of product manifolds and warped product
manifolds.