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

23

Pages

1057–1084

No. of pages

28

ISSN

1465-3060

Publication date

2019

Publication status

Veröffentlicht

Peer reviewed

Yes

ASJC Scopus Sachgebiete

Geometrie und Topologie

Electronic version(s)

https://doi.org/10.48550/arXiv.1802.06304 (Access: Offen)
https://doi.org/10.2140/gt.2019.23.1057 (Access: Geschlossen)