TY - JOUR
T1 - Collapsing ancient solutions of mean curvature flow
AU - Bourni, Theodora
AU - Langford, Mat
AU - Tinaglia, Giuseppe
N1 - Funding Information:
∗The second author was partially supported by an Alexander von Humboldt fellowship. †The third author was partially supported by EPSRC grant no. EP/M024512/1. Received May 2, 2018.
Publisher Copyright:
© 2021 International Press of Boston, Inc.. All rights reserved.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
PY - 2021/10
Y1 - 2021/10
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85115955563&partnerID=8YFLogxK
U2 - 10.4310/jdg/1632506300
DO - 10.4310/jdg/1632506300
M3 - Article
AN - SCOPUS:85115955563
SN - 0022-040X
VL - 119
SP - 187
EP - 219
JO - JOURNAL OF DIFFERENTIAL GEOMETRY
JF - JOURNAL OF DIFFERENTIAL GEOMETRY
IS - 2
ER -