Mean curvature flows of two-convex Lagrangians
Journal
Journal of Differential Geometry
Journal Volume
128
Journal Issue
3
ISSN
0022-040X
Date Issued
2024-11-01
Author(s)
Abstract
We prove regularity, global existence, and convergence of Lagrangian mean curvature ows in the two-convex case (1.6). Such results were previously only known in the convex case, of which the current work represents a signi_cant improvement. The proof relies on a newly discovered monotone quantity (2.6) that controls two-convexity. Through a unitary transformation, same result for the mean curvature ow of area-decreasing Lagrangian submanifolds (1.10) were established.
SDGs
Publisher
International Press of Boston
Type
journal article