On a Connection Used in Deformation Quantization

G. Rudolph, M. Schmidt
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引用次数: 1

Abstract

Using natural lifting operations, we give a coordinate-free proof of the fact that the connection used by Bordemann, Neumaier and Waldmann to construct the Fedosov standard ordered star product on the cotangent bundle of a Riemannian manifold is obtained by symplectification of the complete lift of the corresponding Levi-Civita connection, in the sense of Yano and Patterson. In terms of local coordinates, this has already been shown by Plebanski, Przanowski and Turrubiates.
变形量化中使用的一种连接
利用自然提升运算,我们给出了一个无坐标证明,证明了Bordemann、Neumaier和Waldmann在黎曼流形的余切束上构造Fedosov标准有序星积的连接是由相应的Levi-Civita连接在Yano和Patterson意义上的完全提升化而得的。在局部坐标方面,Plebanski, Przanowski和Turrubiates已经证明了这一点。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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