Singularities of Lagrangian mean curvature flow: monotone case
| dc.creator | Neves, Andre' | |
| dc.date | 2006-08-15 | |
| dc.date.accessioned | 2026-07-07T07:21:49Z | |
| dc.date.available | 2026-07-07T07:21:49Z | |
| dc.description | We study the formation of singularities for the mean curvature flow of monotone Lagrangians in $\C^n$. More precisely, we show that if singularities happen before a critical time then the tangent flow can be decomposed into a finite union of area-minimizing Lagrangian cones (Slag cones). When $n=2$, we can improve this result by showing that connected components of the rescaled flow converge to an area-minimizing cone, as opposed to possible non-area minimizing union of Slag cones. In the last section, we give specific examples for which such singularity formation occurs. | |
| dc.description | 18 pages. 2 figures. Submitted | |
| dc.identifier | https://arxiv.org/abs/math/0608401 | |
| dc.identifier | http://arxiv.org/abs/math/0608401 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115439 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53C44 | |
| dc.title | Singularities of Lagrangian mean curvature flow: monotone case | |
| dc.type | text |