In this article, new curvature conditions are introduced to establish functional inequalities including gradient estimates, Harnack inequalities and transportation-cost inequalities on manifolds with non-convex boundary.
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 compac...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.展开更多
基金supported by Fonds National de la Recherche Luxembourg(Grant No.O14/7628746 GEOMREV)the University of Luxembourg(Grant No.IRP R-AGR-0517-10/AGSDE)+1 种基金supported by National Natural Science Foundation of China(Grant No.11501508)Zhejiang Provincial Natural Science Foundation of China(Grant No.LQ16A010009)
文摘In this article, new curvature conditions are introduced to establish functional inequalities including gradient estimates, Harnack inequalities and transportation-cost inequalities on manifolds with non-convex boundary.
基金supported by NSFC(Grant No.11171143)Zhejiang Provincial Natural Science Foundation of China(Project No.LY13A010009 and LY14A010021)supported by the Fonds National de la Recherche Luxembourg(OPEN Project GEOMREV)
文摘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.
