Details
| Original language | English |
|---|---|
| Article number | 20 |
| Journal | Calculus of Variations and Partial Differential Equations |
| Volume | 58 |
| Issue number | 1 |
| Early online date | 12 Dec 2018 |
| Publication status | Published - Feb 2019 |
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.
ASJC Scopus subject areas
- Mathematics(all)
- Analysis
- Mathematics(all)
- Applied Mathematics
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In: Calculus of Variations and Partial Differential Equations, Vol. 58, No. 1, 20, 02.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Local non-collapsing of volume for the Lagrangian mean curvature flow
AU - Smoczyk, Knut
N1 - Funding information: Supported by DFG SM 78/6-1.
PY - 2019/2
Y1 - 2019/2
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85058840928&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1801.07303
DO - 10.48550/arXiv.1801.07303
M3 - Article
AN - SCOPUS:85058840928
VL - 58
JO - Calculus of Variations and Partial Differential Equations
JF - Calculus of Variations and Partial Differential Equations
SN - 0944-2669
IS - 1
M1 - 20
ER -