Uniqueness of Lagrangian self-expanders

Lotay, Jason D¹ ; Neves, André²

¹ Department of Mathematics, University College London, Gower Street, London WC1E 6BT, UK
² Imperial College London, Huxley Building, 180 Queen’s Gate, London SW7 2RH, UK

Geometry & topology, Tome 17 (2013) no. 5, pp. 2689-2729.

Résumé

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 $n=2$.

Détail

DOI : 10.2140/gt.2013.17.2689

Classification : 53D12, 53C44
Keywords: Lagrangian mean curvature flow, self-expanders, uniqueness

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