12 citations · 12 across the 1 of their papers we have counts for
7 papers
A note on the compactness theorem for 4d Ricci shrinkers
Robert Haslhofer, Reto Müller
In arXiv:1005.3255 we proved an orbifold Cheeger-Gromov compactness theorem for complete 4d Ricci shrinkers with a lower bound for the entropy, an upper bound for the Euler charact…
Dynamical stability and instability of Ricci-flat metrics
Robert Haslhofer, Reto Müller
In this short article, we improve the dynamical stability and instability results for Ricci-flat metrics under Ricci flow proved by Sesum and Haslhofer, getting rid of the integrab…
Perelman's Entropy Functional at Type I Singularities of the Ricci Flow
Carlo Mantegazza, Reto Müller
We study blow-ups around fixed points at Type I singularities of the Ricci flow on closed manifolds using Perelman's W-functional. First, we give an alternative proof of the result…
A compactness theorem for complete Ricci shrinkers
Robert Haslhofer, Reto Müller
We prove precompactness in an orbifold Cheeger-Gromov sense of complete gradient Ricci shrinkers with a lower bound on their entropy and a local integral Riemann bound. We do not n…
On Type I Singularities in Ricci flow
Joerg Enders, Reto Müller, Peter M. Topping
We define several notions of singular set for Type I Ricci flows and show that they all coincide. In order to do this, we prove that blow-ups around singular points converge to non…
Ricci flow coupled with harmonic map flow
Reto Müller
We investigate a new geometric flow which consists of a coupled system of the Ricci flow on a closed manifold M with the harmonic map flow of a map phi from M to some closed target…