Uniqueness of Lagrangian self-expanders

Lotay, Jason D; Neves, André

doi:10.2140/gt.2013.17.2689

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Uniqueness of Lagrangian self-expanders

Jason D Lotay and André Neves

Geometry & Topology 17 (2013) 2689–2729

DOI: 10.2140/gt.2013.17.2689

Abstract

We show that zero-Maslov class Lagrangian self-expanders in $ℂ^{n}$ that are asymptotic to a pair of planes intersecting transversely are locally unique if $n > 2$ and unique if $n = 2$ .

Keywords

Lagrangian mean curvature flow, self-expanders, uniqueness

Mathematical Subject Classification 2010

Primary: 53D12

Secondary: 53C44

References

Publication

Received: 14 August 2012

Accepted: 29 April 2013

Published: 30 September 2013

Proposed: Tobias H Colding

Seconded: Richard Thomas, Leonid Polterovich

Authors

Jason D Lotay
Department of Mathematics University College London Gower Street London WC1E 6BT UK

André Neves
Imperial College London Huxley Building, 180 Queen’s Gate London SW7 2RH UK

Volume 17, issue 5 (2013)