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arXiv · 1907.06449

Homogeneous G-structures

Alfonso G. Tortorella·Luca Vitagliano·Ori Yudilevich
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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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Alfonso G. Tortorella, Luca Vitagliano, Ori Yudilevich. 2019-07-15. Homogeneous G-structures. https://doi.org/10.1007/s10231-020-00972-9

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