Singularity of mean curvature flow of Lagrangian submanifolds
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Bibliographic record
Abstract
In this article we study the tangent cones at first time singularity of a Lagrangian mean curvature flow. If the initial compact submanifold Σ0 is Lagrangian and almost calibrated by Re Ω in a Calabi-Yau n-fold (M,Ω), and T> 0 is the first blow-up time of the mean curvature flow, then the tangent cone of the mean curvature flow at a singular point (X0,T) is a stationary Lagrangian integer multiplicity current in R 2n with volume density greater than one at X0. When n = 2, the tangent cone consists of a finite union of more than one 2-planes in R 4 which are complex in a complex structure on R 4. 1
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
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Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
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