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Singularities of the Lagrangian Mean Curvature Flow

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 نشر من قبل Andrew Cooper
 تاريخ النشر 2015
  مجال البحث
والبحث باللغة English
 تأليف Andrew A. Cooper




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In this paper we investigate the singularities of Lagrangian mean curvature flows in $mathbf{C}^m$ by means of smooth singularity models. Type I singularities can only occur at certain times determined by invariants in the cohomology of the initial data. In the type II case, these smooth singularity models are asymptotic to special Lagrangian cones; hence all type II singularities are modeled by unions of special Lagrangian cones.



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