Homogeneous G-structures

Autor: Tortorella, Alfonso G., Vitagliano, Luca, Yudilevich, Ori
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