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.

Organisation(s)
Institut für Differentialgeometrie
Riemann Center for Geometry and Physics
External Organisation(s)
University of Ioannina
Type
Artikel
Journal
Geometry and Topology
Volume
2019
Pages
1057–1084
ISSN
1465-3060
Publication date
2019
Publication status
Veröffentlicht
Peer reviewed
Yes
Electronic version(s)
https://doi.org/10.48550/arXiv.1802.06304 (Access: Offen)
https://doi.org/10.2140/gt.2019.23.1057 (Access: Geschlossen)