Uniqueness of the bowl soliton
By Robert Haslhofer. 2014
77 citations recorded by the source corpus.
We prove that any translating soliton for the mean curvature flow which is noncollapsed and uniformly 2-convex must be the rotationally symmetric bowl soliton. In particular, this proves a conjecture of White and Wang, in the 2-convex case in arbitrary dimension.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/c944d6da842bf21670001318798b7665d2daebd2
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In Applied Mathematics
- Robert Haslhofer
- Kyeongsu Choi
- Or Hershkovits
- N. Šešum
- P. Daskalopoulos
- Sigurd B. Angenent
- S. Brendle
- J. Spruck
In Geometry and Topology
- Robert Haslhofer
- Kyeongsu Choi
- Or Hershkovits
- N. Šešum
- P. Daskalopoulos
- Sigurd B. Angenent
- S. Brendle
- J. Spruck
Citations in the corpus
- Ancient asymptotically cylindrical flows and applications (2019, background): “In arbitrary dimension, the second author [Has15] proved that the bowl soliton is the only uniformly two-convex, noncollapsed1 translating solution in Rn+1.”
- Uniqueness of two-convex closed ancient solutions to the mean curvature flow (2018, background): “The uniqueness of the Bowl soliton among convex and uniformly two-convex translating solitons has been proved by Haslhofer in [10].”
- Complete translating solitons to the mean curvature flow in ℝ3 with nonnegative mean curvature (2020, background): “We slightly modify the argument of Haslhofer [16].”