Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606034 | Differential Geometry and its Applications | 2013 | 16 Pages |
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.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Michele Rimoldi, Giona Veronelli,