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Homogeneous G-structures

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 نشر من قبل Luca Vitagliano
 تاريخ النشر 2019
  مجال البحث
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The theory of $G$-structures provides us with a unified framework for a large class of geometric structures, including symplectic, complex and Riemannian structures, as well as foliations and many others. Surprisingly, contact geometry - the odd-dimensional counterpart of symplectic geometry - does not fit naturally into this picture. In this paper, we introduce the notion of a homogeneous $G$-structure, which encompasses contact structures, as well as some other interesting examples that appear in the literature.

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