Homogeneous G-structures

被引：0
作者：
Alfonso Giuseppe Tortorella
Luca Vitagliano
Ori Yudilevich
机构：
[1] KU Leuven,Department of Mathematics
[2] DipMat,undefined
[3] Università degli Studi di Salerno,undefined
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2020年 / 199卷
关键词：
G-structures; Contact structures; Atiyah algebroid; 53C10 (Primary); 53D10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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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页码：2357 / 2380
页数：23
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