Publications at the Riemann Center

Lagrangian mean curvature flow of Whitney spheres

Authored by

Knut Smoczyk, Andreas Savas-Halilaj

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.

Details

Organisation(s)
Institute of Differential Geometry
Riemann Center for Geometry and Physics
External Organisation(s)
University of Ioannina
Type
Article
Journal
Geometry and Topology
Volume
23
Pages
1057–1084
No. of pages
28
ISSN
1465-3060
Publication date
2019
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Geometry and Topology
Electronic version(s)
https://doi.org/10.48550/arXiv.1802.06304 (Access: Open )
https://doi.org/10.2140/gt.2019.23.1057 (Access: Closed )
PDF
PDF