Non-existence for self-translating solitons

Niels Martin Møller

Non-existence for self-translating solitons

Research output: Contribution to journal › Journal article › Research

Abstract

This paper establishes geometric obstructions to the existence of complete, properly embedded, mean curvature flow self-translating solitons $\Sigma^n\subseteq \mathbb{R}^{n+1}$, generalizing previously known non-existence conditions such as cylindrical boundedness.

Original language	English
Journal	arXiv.org
Publication status	Published - 10 Nov 2014
Externally published	Yes

Bibliographical note

15 pages

Keywords

math.DG

Access to Document

https://arxiv.org/abs/1411.2319

Library access?

Check availability at the Royal Danish Library

Cite this

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title = "Non-existence for self-translating solitons",

abstract = "This paper establishes geometric obstructions to the existence of complete, properly embedded, mean curvature flow self-translating solitons $\Sigma^n\subseteq \mathbb{R}^{n+1}$, generalizing previously known non-existence conditions such as cylindrical boundedness.",

keywords = "math.DG",

author = "M{\o}ller, {Niels Martin}",

note = "15 pages",

year = "2014",

month = nov,

day = "10",

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journal = "arXiv.org",

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Y1 - 2014/11/10

N2 - This paper establishes geometric obstructions to the existence of complete, properly embedded, mean curvature flow self-translating solitons $\Sigma^n\subseteq \mathbb{R}^{n+1}$, generalizing previously known non-existence conditions such as cylindrical boundedness.

AB - This paper establishes geometric obstructions to the existence of complete, properly embedded, mean curvature flow self-translating solitons $\Sigma^n\subseteq \mathbb{R}^{n+1}$, generalizing previously known non-existence conditions such as cylindrical boundedness.

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JO - arXiv.org

JF - arXiv.org

ER -