The Fundamental Groups of m-Quasi-Einstein Manifolds

Abstract EN

In Ricci flow theory, the topology of Ricci soliton is important.

We call a metric quasi-Einstein if the m-Bakry-Emery Ricci tensor is a constant multiple of the metric tensor.

This is a generalization of gradient shrinking Ricci soliton.

In this paper, we will prove the finiteness of the fundamental group of m-quasi-Einstein with a positive constant multiple.