Homogeneous G-structures
Differential Geometry
2020-03-10 v2
Abstract
The theory of -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 -structure, which encompasses contact structures, as well as some other interesting examples that appear in the literature.
Cite
@article{arxiv.1907.06449,
title = {Homogeneous G-structures},
author = {Alfonso G. Tortorella and Luca Vitagliano and Ori Yudilevich},
journal= {arXiv preprint arXiv:1907.06449},
year = {2020}
}
Comments
20 pages, to appear in Ann. Mat. Pura Appl., comments welcome