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Remarks on Gradient Ricci Solitons

2004/11/19 by Li Ma, Ma, Li
Mathematics · #53Cxx #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53Cxx

paper · pdf · doi:10.48550/arxiv.math/0411426

6 pages

arxiv created 2004/11/19 · arxiv updated 2009/12/01

Abstract

In this paper, we study the gradient Ricci soliton equation on a complete Riemannian manifold. We show that under a natural decay condition on the Ricci curvature, the Ricci soliton is Ricci-flat and ALE.

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