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 maps
Articolo in rivista - Articolo scientifico
f -Harmonic maps; Smooth metric measure spaces; Gradient Ricci solitons
English
2013
31
5
623
638
none
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/64556
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