[en] 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.
Disciplines :
Mathématiques
Auteur, co-auteur :
Guo, Hongxin; Wenzhou University, Zhejiang, China > School of mathematics and information science
PHILIPOWSKI, Robert ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
THALMAIER, Anton ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
On gradient solitons of the Ricci-Harmonic flow
Date de publication/diffusion :
15 octobre 2015
Titre du périodique :
Acta Mathematica Sinica
ISSN :
1439-8516
eISSN :
1439-7617
Maison d'édition :
Springer Science & Business Media B.V.
Volume/Tome :
31
Fascicule/Saison :
11
Pagination :
1798-1804
Peer reviewed :
Peer reviewed vérifié par ORBi
Projet FnR :
FNR7628746 - Geometry Of Random Evolutions, 2014 (01/03/2015-28/02/2018) - Anton Thalmaier
