Homogeneous G-structures
Autor: | Tortorella, Alfonso G., Vitagliano, Luca, Yudilevich, Ori |
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Rok vydání: | 2019 |
Předmět: | |
Druh dokumentu: | Working Paper |
DOI: | 10.1007/s10231-020-00972-9 |
Popis: | 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. Comment: 20 pages, to appear in Ann. Mat. Pura Appl., comments welcome |
Databáze: | arXiv |
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