The Fundamental Groups of m-Quasi-Einstein Manifolds. (10th April 2012)

• Record Type: Journal Article
• Authors: Lee, Hee Kwon
• Other Names: Borowiec A. Academic Editor.; Cegarra A. M. Academic Editor.
• Is Part Of: ISRN geometry. Volume 2011(2011)
• Publication Date: 2012-04-10
• Subjects: Geometry -- Periodicals; Topology -- Periodicals; Geometry; Topology; Periodicals; 516
• DOI: 10.5402/2011/812541
• Languages: English
• ISSNs: 2090-6307

Abstract

Abstract : 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.