@Article{JPDE-25-3,
author = {Yang, Liuqing},
title = {Nonexistence of Blow-up Flows for Symplectic and Lagrangian Mean Curvature Flows},
journal = {Journal of Partial Differential Equations},
year = {2012},
volume = {25},
number = {3},
pages = {199--207},
abstract = {<p>In this paper we mainly study the relation between $|A|^2, |H|^2$ and cosα (α is the Kähler angle) of the blow up flow around the type II singularities of a symplectic mean curvature flow. We also study similar property of an almost calibrated Lagrangian mean curvature flow. We show the nonexistence of type II blow-up flows for a symplectic mean curvature flow satisfying $|A|^2≤λ|H|^2$ and $cosα≥δ&gt;1-\frac{1}{2λ}(½≤α≤ 2)$, or for an almost calibrated Lagrangian mean curvature flow satisfying $|A|^2≤λ|H|^2$ and $cosθ≥δ&gt;max\ {0,1-\frac{1}{λ}}(\frac34≤λ≤ 2)$, where θ is the Lagrangian angle.</p>},
issn = {2079-732X},
doi = {https://doi.org/10.4208/jpde.v25.n3.1},
url = {https://global-sci.com/article/88350/nonexistence-of-blow-up-flows-for-symplectic-and-lagrangian-mean-curvature-flows}
}