The Fundamental Groups of m-Quasi-Einstein Manifolds | Zendy

Hee Kwon Lee | Zendy

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The Fundamental Groups of m-Quasi-Einstein Manifolds

Author(s) -

Hee Kwon Lee

Publication year - 2011

Publication title -

isrn geometry

Language(s) - English

Resource type - Journals

eISSN - 2090-6315

pISSN - 2090-6307

DOI - 10.5402/2011/812541

Subject(s) - ricci flow , einstein , ricci curvature , ricci decomposition , einstein tensor , mathematics , generalization , metric (unit) , pure mathematics , mathematical physics , constant (computer programming) , topology (electrical circuits) , mathematical analysis , riemann curvature tensor , combinatorics , geometry , computer science , operations management , curvature , economics , programming language

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.

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