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arXiv · 1802.06304

Lagrangian mean curvature flow of Whitney spheres

Andreas Savas-Halilaj·Knut Smoczyk
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Abstract

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.

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Andreas Savas-Halilaj, Knut Smoczyk. 2018-02-17. Lagrangian mean curvature flow of Whitney spheres. https://doi.org/10.2140/gt.2019.23.1057

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