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

29 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

Access to Document

10.1090/S0002-9947-2013-05649-8

Cite this

@article{a8bda9fd0755406a812793017373422b,

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.",

author = "Andr{\'e} Neves and Gang Tian",

year = "2013",

doi = "10.1090/S0002-9947-2013-05649-8",

language = "English (US)",

volume = "365",

pages = "5655--5680",

journal = "Transactions of the American Mathematical Society",

issn = "0002-9947",

publisher = "American Mathematical Society",

number = "11",

}

TY - JOUR

T1 - Translating solutions to lagrangian mean curvature flow

AU - Neves, André

AU - Tian, Gang

PY - 2013

Y1 - 2013

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/84879328299

UR - https://www.scopus.com/pages/publications/84879328299#tab=citedBy

U2 - 10.1090/S0002-9947-2013-05649-8

DO - 10.1090/S0002-9947-2013-05649-8

M3 - Article

AN - SCOPUS:84879328299

SN - 0002-9947

VL - 365

SP - 5655

EP - 5680

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 11

ER -

Translating solutions to lagrangian mean curvature flow

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this