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math.DG2021
Nontrivial breathers for Ricci flow
Peter M. Topping
Perelman has proved that there cannot exist a nontrivial breather for Ricci flow on a closed manifold. Here we construct nontrivial expanding breathers for Ricci flow in all dimens…
math.DG2006
Local monotonicity and mean value formulas for evolving Riemannian manifolds
Klaus Ecker, Dan Knopf, Lei Ni +1
We derive identities for general flows of Riemannian metrics that may be regarded as local mean-value, monotonicity, or Lyapunov formulae. These generalize previous work of the fir…