Lagrangian mean curvature flow of Whitney spheres
Differential Geometry
2019-04-17 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1802.06304,
title = {Lagrangian mean curvature flow of Whitney spheres},
author = {Andreas Savas-Halilaj and Knut Smoczyk},
journal= {arXiv preprint arXiv:1802.06304},
year = {2019}
}
Comments
28 pages, 7 figures