The Curvature of Gradient Ricci Solitons

Abstract

We study integral and pointwise bounds on the curvature of gradient shrinking Ricci solitons. As applications we discuss gap and compactness results for gradient shrinkers.

16 pages

References in corpus (4)

• Generic mean curvature flow I; generic singularities
• Perelman's reduced volume and a gap theorem for the Ricci flow
• On Locally Conformally Flat Gradient Shrinking Ricci Solitons
• Gradient Shrinking Solitons with Vanishing Weyl Tensor

Cited by in corpus (2)

• On the conditions to extend Ricci flow(II)
• Cohomogeneity one shrinking Ricci solitons: an analytic and numerical study