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arXiv 2108.03445math-phgr-qcmath.DGmath.MP
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通过着装场方法从2-标架丛构造共形和射影拖拉机

Conformal and projective tractors from 2-frame bundles by the dressing field method

Serge Lazzarini, Loïc Marsot

AI总结:

本文用2-标架语言研究共形和射影结构,通过着装场方法获得局部规范不变的联络,并证明可用类似构造定义射影拖拉机丛。

摘要:

本文致力于用2-标架或二阶G-结构的语言研究共形和射影结构,特别是它们的联络。虽然它们的正规Cartan联络是众所周知的,我们使用着装场方法获得其局部的、主要是规范不变的联络。最后,我们回顾如何从共形结构获得拖拉机丛,然后证明我们可以使用同样的构造方式来定义射影拖拉机丛。

英文摘要:

This paper is devoted to the study of conformal and projective structures, and especially their connections, in the language of 2-frames, or $G$-structures of 2nd-order. While their normal Cartan connections are well-known, we use the dressing field method to obtain their local, mostly gauge invariant, connections. Lastly, we recall how to obtain the tractor bundle from conformal structures, and then show that we can define a projective tractor bundle using the same kind of construction.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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