Title : On gradient solitons of the Ricci-Harmonic flow
Language : English
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 >]
Publication date : 15-Oct-2015
Journal title : Acta Mathematica Sinica
Publisher : Springer Science & Business Media B.V.
Volume : 31
Issue/season : 11
Pages : 1798-1804
Peer reviewed : Yes (verified by ORBilu )
Audience : International
ISSN : 1439-8516
e-ISSN : 1439-7617
Keywords : [en] 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.
Target : Researchers ; Professionals
Permalink : http://hdl.handle.net/10993/18115
DOI : 10.1007/s10114-015-4446-7
FnR project : FnR ; FNR7628746 > Anton Thalmaier > GEOMREV > Geometry of random evolutions > 01/03/2015 > 28/02/2018 > 2014