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arxiv: math/0411426 · v1 · submitted 2004-11-19 · 🧮 math.DG

Remarks on Gradient Ricci Solitons

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keywords riccigradientsolitoncompleteconditioncurvaturedecayequation
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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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