In this paper we give some results on the topology of manifolds with ∞-Bakry–Émery Ricci tensor bounded below, and in particular of steady and expanding gradient Ricci solitons. To this aim we clarify and further develop the theory of f-harmonic maps from non-compact manifolds into non-positively curved manifolds. Notably, we prove existence and vanishing results which generalize to the weighted setting part of Schoen and Yauʼs theory of harmonic maps
Rimoldi, M., Veronelli, G. (2013). Topology of steady and expanding gradient Ricci solitons via f-harmonic maps. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 31(5), 623-638 [10.1016/j.difgeo.2013.06.001].
Topology of steady and expanding gradient Ricci solitons via f-harmonic maps
Rimoldi, M;VERONELLI, GIONA
2013
Abstract
In this paper we give some results on the topology of manifolds with ∞-Bakry–Émery Ricci tensor bounded below, and in particular of steady and expanding gradient Ricci solitons. To this aim we clarify and further develop the theory of f-harmonic maps from non-compact manifolds into non-positively curved manifolds. Notably, we prove existence and vanishing results which generalize to the weighted setting part of Schoen and Yauʼs theory of harmonic mapsI documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.