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math.DGJun 17, 2010
3
citations (OpenAlex)
authors
  • Ovidiu Munteanu
  • Mu-Tao Wang
arXiv abstractPDF
paper

The Curvature of Gradient Ricci Solitons

arXiv:1006.3547

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.

arXiv comment16 pages

References in corpus (9)

  • Recent Progress on Ricci Solitons
  • A compactness theorem for complete Ricci shrinkers
  • Evolution of the Weyl Tensor under the Ricci Flow
  • Generic mean curvature flow I; generic singularities
  • Compactness theorems of gradient Ricci solitons
  • Perelman's reduced volume and a gap theorem for the Ricci flow
  • On Locally Conformally Flat Gradient Shrinking Ricci Solitons
  • On complete 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
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