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.

Homogeneous G-structures

Tortorella, Alfonso Giuseppe
Membro del Collaboration Group
;
Vitagliano, Luca
;
Yudilevich, Ori
Membro del Collaboration Group
2020

Abstract

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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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/4735638
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