Remarks on Gradient Ricci Solitons

Details Remarks on Gradient Ricci Solitons Remarks on Gradient Ricci Solitons

2004-11-19

arxiv.org/abs/math/0411426v1

Mathematics

Differential Geometry

6 pages

Scientific paper

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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