Article (Scientific journals)
On gradient solitons of the Ricci-Harmonic flow
Guo, Hongxin; Philipowski, Robert; Thalmaier, Anton
2015In Acta Mathematica Sinica, 31 (11), p. 1798-1804
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Keywords :
Ricci flow; gradient soliton; quasi-Einstein manifold
Abstract :
[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 :
Mathematics
Author, co-author :
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
External co-authors :
yes
Language :
English
Title :
On gradient solitons of the Ricci-Harmonic flow
Publication date :
15 October 2015
Journal title :
Acta Mathematica Sinica
ISSN :
1439-7617
Publisher :
Springer Science & Business Media B.V.
Volume :
31
Issue :
11
Pages :
1798-1804
Peer reviewed :
Peer Reviewed verified by ORBi
FnR Project :
FNR7628746 - Geometry Of Random Evolutions, 2014 (01/03/2015-28/02/2018) - Anton Thalmaier
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