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Homogeneous G-structures

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arxiv 1907.06449 v2 pith:XMF5VGWA submitted 2019-07-15 math.DG

Alfonso G. Tortorella , Luca Vitagliano , Ori Yudilevich This is my paper · ORCID
classification math.DG
keywords structurescontactgeometryhomogeneoussymplecticwellappearclass
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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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Cited by 1 Pith paper

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  1. On Homogeneous K\"ahler Manifolds

    math.DG 2026-08 conditional novelty 6.0 of 10

    Homogeneous Kähler structures on principal R^×-bundles reduce to Sasakian structures exactly when the Euler vector field is pre-geodesic and the line bundle is oriented, and the same dictionary covers co-Kähler struct...

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