On gradient solitons of the Ricci.Harmonic flow

Authors
Guo, Hong Xin Philipowski, Robert Thalmaier, Anton
Citation
Guo, Hong Xin et al., On gradient solitons of the Ricci.Harmonic flow, Acta mathematica Sinica. English series (Print) , 31(11), 2015, pp. 1798-1804
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
11
Year of publication
2015
Pages
1798 - 1804
Database
ACNP
SICI code
Abstract
In this paper, we study gradient solitons to the Ricci flow coupled with harmonic map heat flow. We derive new identities on solitons similar to those on gradient solitons of the Ricci flow. When the soliton is compact, we get a classification result. We also discuss the relation with quasi-Einstein manifolds.