Publications at the Riemann Center

Local non-collapsing of volume for the Lagrangian mean curvature flow

Authored by

Knut Smoczyk

Abstract

We prove an optimal control on the time-dependent measure of a measurable set under a reparametrized Lagrangian mean curvature flow of almost calibrated submanifolds in a Calabi–Yau manifold. Moreover we give a classification of those Lagrangian translating solitons in Cm that evolve by this reparametrized flow.

Details

Organisation(s)
Institute of Differential Geometry
Riemann Center for Geometry and Physics
Type
Article
Journal
Calculus of Variations and Partial Differential Equations
Volume
58
ISSN
0944-2669
Publication date
02.2019
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Analysis, Applied Mathematics
Electronic version(s)
https://doi.org/10.48550/arXiv.1801.07303 (Access: Open )
https://doi.org/10.1007/s00526-018-1458-z (Access: Closed )
PDF
PDF