- Title
- Collapsing ancient solutions of mean curvature flow
- Creator
- Bourni, Theodora; Langford, Mat; Tinaglia, Giuseppe
- Relation
- Journal of Differential Geometry Vol. 119, Issue 2, p. 187-219
- Publisher Link
- http://dx.doi.org/10.4310/jdg/1632506300
- Publisher
- International Press of Boston
- Resource Type
- journal article
- Date
- 2021
- Description
- We construct a compact, convex ancient solution of mean curvature flow in ℝⁿ⁺¹ with O(1) × O(n) symmetry that lies in a slab of width π. We provide detailed asymptotics for this solution and show that, up to rigid motions, it is the only compact, convex, O(n)-invariant ancient solution that lies in a slab of width π and in no smaller slab.
- Subject
- compact; convex; mean curvature flow; slab of width
- Identifier
- http://hdl.handle.net/1959.13/1442475
- Identifier
- uon:41700
- Identifier
- ISSN:0022-040X
- Language
- eng
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