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Lie groupoids and semi-local models of Singular Riemannian foliations

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 نشر من قبل Marcos Alexandrino
 تاريخ النشر 2018
  مجال البحث
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We describe a local model for any Singular Riemannian Foliation in a neighbourhood of a closed saturated submanifold of a regular stratum. Moreover we construct a Lie groupoid which controls the transverse geometry of the linear approximation of the Singular Riemannian Foliation around these submanifolds. We also discuss the closure of this Lie groupoid and its Lie algebroid.

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