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Homogeneous Ricci solitons are algebraic

Michael Jablonski
Geometry & Topology 18 (2014) 2477–2486
DOI: 10.2140/gt.2014.18.2477
Abstract

In this short note, we show that homogeneous Ricci solitons are algebraic. As an application, we see that the generalized Alekseevskii conjecture is equivalent to the Alekseevskii conjecture.

Keywords
homogeneous, Ricci soliton, algebraic soliton, Einstein metric, Alekseevskii conjecture
Mathematical Subject Classification 2010
Primary: 53C25
Secondary: 22E25, 53C30
References
Publication
Received: 16 October 2013
Revised: 7 April 2014
Accepted: 10 May 2014
Published: 2 October 2014
Proposed: John Lott
Seconded: Gang Tian, Simon Donaldson
Authors
Michael Jablonski
Department of Mathematics
University of Oklahoma
Norman, OK 73019-3103
USA
http://www.math.ou.edu/~mjablonski/