Evolution of convex hypersurfaces by powers of the mean curvature

By F. Schulze. 2005

107 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/fa7a6d400bc2c838ba247e3c7444c5bf8ab52ddb

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Carlo Sinestrari
2. Esther Cabezas-Rivas
3. F. Schulze
4. Robert Haslhofer
5. Ludovic Rifford
6. S. Brendle
7. G. Huisken
8. Bruce Kleiner

In Geometry and Topology

1. Carlo Sinestrari
2. Esther Cabezas-Rivas
3. F. Schulze
4. Robert Haslhofer
5. S. Brendle
6. G. Huisken
7. Bruce Kleiner
8. Guofang Wang

Citations in the corpus

• Volume-preserving flow by powers of the mth mean curvature (2009, background): “In some case it is known that convex hypersurfaces shrink to a point [7, 32], but some counterexamples show that in general the profile may not become spherical after rescaling.”
• Nonlinear evolution by mean curvature and isoperimetric inequalities (2006, background): “9 in [19] these flows exist on a uniform time interval [0, ε), for some ε > 0.”