Translators asymptotic to cylinders

Or Hershkovits

doi:10.1515/crelle-2019-0023

Translators asymptotic to cylinders

Or Hershkovits^*

^*Corresponding author for this work

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

4 Scopus citations

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

Bibliographical note

Publisher Copyright:
© 2020 Walter de Gruyter GmbH, Berlin/Boston.

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Translators asymptotic to cylinders

Abstract

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