Volume 17, issue 5 (2013)

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Uniqueness of Lagrangian self-expanders

Jason D Lotay and André Neves

Geometry & Topology 17 (2013) 2689–2729
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
Primary: 53D12
Secondary: 53C44