Translating solutions to lagrangian mean curvature flow

André Neves; Gang Tian

doi:10.1090/S0002-9947-2013-05649-8

Translating solutions to lagrangian mean curvature flow

André Neves, Gang Tian

Mathematics

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

24 Scopus citations

Abstract

We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an L² bound on the mean curvature are planes and that almostcalibrated translating solutions which are static are also planes. Recent work of D. Joyce, Y.-I. Lee, and M.-P. Tsui shows that these conditions are optimal.

Original language	English (US)
Pages (from-to)	5655-5680
Number of pages	26
Journal	Transactions of the American Mathematical Society
Volume	365
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9947-2013-05649-8
State	Published - 2013

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9947-2013-05649-8

Cite this

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title = "Translating solutions to lagrangian mean curvature flow",

abstract = "We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an L2 bound on the mean curvature are planes and that almostcalibrated translating solutions which are static are also planes. Recent work of D. Joyce, Y.-I. Lee, and M.-P. Tsui shows that these conditions are optimal.",

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AB - We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an L2 bound on the mean curvature are planes and that almostcalibrated translating solutions which are static are also planes. Recent work of D. Joyce, Y.-I. Lee, and M.-P. Tsui shows that these conditions are optimal.

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Translating solutions to lagrangian mean curvature flow

Abstract

All Science Journal Classification (ASJC) codes

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