Lagrangian mean curvature flow of Whitney spheres

Savas-Halilaj, Andreas¹ ; Smoczyk, Knut²

¹ Department of Mathematics, University of Ioannina, Ioannina, Greece
² Institute of Differential Geometry, Leibniz University Hannover, Hannover, Germany

Geometry & topology, Tome 23 (2019) no. 2, pp. 1057-1084.

Résumé

It is shown that an equivariant Lagrangian sphere with a positivity condition on its Ricci curvature develops a type-II singularity under the Lagrangian mean curvature flow that rescales to the product of a grim reaper with a flat Lagrangian subspace. In particular this result applies to the Whitney spheres.

Détail

DOI : 10.2140/gt.2019.23.1057

Classification : 53C21, 53C42, 53C44
Keywords: Lagrangian mean curvature flow, equivariant Lagrangian submanifolds, type-II singularities

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