Article ID Journal Published Year Pages File Type
4606034 Differential Geometry and its Applications 2013 16 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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