Translators asymptotic to cylinders

Or Hershkovits

doi:10.1515/crelle-2019-0023

Translators asymptotic to cylinders

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the Bowl soliton in R3 is the unique translating solution of the mean curvature flow whose tangent flow at - ∞ is the shrinking cylinder. As an application, we show that for a generic mean curvature flow, all (non-static) translating limit flows are the bowl soliton. The crucial point is that we do not make any global convexity assumption, while as the same time, the asymptotic requirement is very weak.

Original language	English
Pages (from-to)	61-71
Number of pages	11
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2020
Issue number	766
DOIs	https://doi.org/10.1515/crelle-2019-0023
State	Published - 1 Sep 2020
Externally published	Yes

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

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10.1515/crelle-2019-0023

Cite this

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title = "Translators asymptotic to cylinders",

abstract = "We show that the Bowl soliton in R3 is the unique translating solution of the mean curvature flow whose tangent flow at - ∞ is the shrinking cylinder. As an application, we show that for a generic mean curvature flow, all (non-static) translating limit flows are the bowl soliton. The crucial point is that we do not make any global convexity assumption, while as the same time, the asymptotic requirement is very weak.",

author = "Or Hershkovits",

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year = "2020",

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doi = "10.1515/crelle-2019-0023",

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AB - We show that the Bowl soliton in R3 is the unique translating solution of the mean curvature flow whose tangent flow at - ∞ is the shrinking cylinder. As an application, we show that for a generic mean curvature flow, all (non-static) translating limit flows are the bowl soliton. The crucial point is that we do not make any global convexity assumption, while as the same time, the asymptotic requirement is very weak.

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M3 - مقالة

SN - 0075-4102

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JO - Journal fur die Reine und Angewandte Mathematik

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IS - 766

ER -

Translators asymptotic to cylinders

Abstract

All Science Journal Classification (ASJC) codes

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