Translating solutions to Lagrangian mean curvature flow

Authors:
André Neves and Gang Tian

Journal:
Trans. Amer. Math. Soc. **365** (2013), 5655-5680

MSC (2010):
Primary 53C44, 53D12

Published electronically:
June 26, 2013

MathSciNet review:
3091260

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Abstract | References | Similar Articles | Additional Information

Abstract: We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an bound on the mean curvature are planes and that almost-calibrated 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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Additional Information

**André Neves**

Affiliation:
Department of Pure Mathematics, Imperial College London, South Kensington Campus, London, SW7 2AZ, United Kingdom

Email:
aneves@imperial.ac.uk

**Gang Tian**

Affiliation:
Department of Mathematics, Fine Hall, Princeton University, Princeton, New Jersey 08544

Email:
tian@math.princeton.edu

DOI:
http://dx.doi.org/10.1090/S0002-9947-2013-05649-8

Received by editor(s):
June 9, 2011

Published electronically:
June 26, 2013

Additional Notes:
The author was partially supported by NSF grant DMS-06-04164.

Article copyright:
© Copyright 2013
American Mathematical Society