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Loose Engel structures

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 نشر من قبل Alvaro Del Pino
 تاريخ النشر 2017
  مجال البحث
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This article introduces the notion of a loose family of Engel structures and shows that two such families are Engel homotopic if and only if they are formally homotopic. This implies a complete h-principle when some auxiliary data is fixed. As a corollary, we show that Lorentz and orientable Cartan prolongations are classified up to homotopy by their formal data.



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