Mean curvature flow with surgery
By Robert Haslhofer, Bruce Kleiner. 2014
85 citations recorded by the source corpus.
We give a new proof for the existence of mean curvature flow with surgery of 2-convex hypersurfaces in $R^N$, as announced in arXiv:1304.0926. Our proof works for all $N \geq 3$, including mean convex surfaces in $R^3$. We also derive a priori estimates for a more general class of flows in a local and flexible setting.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/d18b04599df66c2ae3f8eeddfaac33aaf1e58700
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
- Robert Haslhofer
- Or Hershkovits
- Kyeongsu Choi
- Daniel Ketover
- B. White
- Bruce Kleiner
- G. Huisken
- S. Brendle
In Geometry and Topology
- Robert Haslhofer
- Daniel Ketover
- Kyeongsu Choi
- Or Hershkovits
- B. White
- Bruce Kleiner
- A. Neves
- S. Brendle
Citations in the corpus
- Ancient asymptotically cylindrical flows and applications (2019, methodology): “In fact, a coarser description of the behavior of such flows at high curvature regions turned out to be sufficient for the construction of mean curvature flow with surgery by Huisken-Sinestrari [HS09], Brendle-Huisken [BH16] and Haslhofer-Kleiner [HK17b].”
- Minimal 2-spheres in 3-spheres (2017, methodology): “However, since we also need a canonical neighborhood theorem for our application we instead extend the approach from Haslhofer-Kleiner [18] to the setting of general ambient manifolds.”