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Rotational symmetry of self‐expanders to the inverse mean curvature flow with cylindrical ends
Author(s) -
Drugan Gregory,
Fong Frederick TszHo,
Lee Hojoo
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201600440
Subject(s) - mathematics , mean curvature flow , inverse , curvature , rotational symmetry , cylinder , flow (mathematics) , symmetry (geometry) , coaxial , mathematical analysis , mean curvature , geometry , electrical engineering , engineering
We show that any complete, immersed self‐expander to the inverse mean curvature flow, which has one end asymptotic to a cylinder, or has two ends asymptotic to two coaxial cylinders, must be rotationally symmetric.