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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 ℂn 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