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Translating solutions to Lagrangian mean curvature flow

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 نشر من قبل Andr\\'e Neves
 تاريخ النشر 2007
  مجال البحث
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We prove some non-existence theorems for translating solutions to Lagrangian mean curvature flow. More precisely, we show that translating solutions with an $L^2$ bound on the mean curvature are planes and that almost-calibrated translating solutions which are static are also planes. Recent work of D. Joyce, Y.-I. Lee, and M.-P. Tsui, shows that these conditions are optimal.



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