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Cartan geometries and multiplicative forms
Differential Geometry and its Applications ( IF 0.6 ) Pub Date : 2021-01-27 , DOI: 10.1016/j.difgeo.2021.101722
Francesco Cattafi

In this paper we show that Cartan geometries can be studied via transitive Lie groupoids endowed with a special kind of vector-valued multiplicative 1-forms. This viewpoint leads us to a more general notion, that of Cartan bundle, which encompasses both Cartan geometries and G-structures.



中文翻译:

Cartan几何和乘法形式

在本文中,我们表明,可以通过赋予特殊矢量值乘积1形式的传递李群群研究Cartan几何。这种观点使我们想到了更通用的概念,即Cartan束,它既包含Cartan几何形状又包含G结构。

更新日期:2021-01-28
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