论文标题
在变形量化中使用的连接
On a connection used in deformation quantization
论文作者
论文摘要
使用自然提升操作，我们提供了一个无坐标的证据，证明了Bordemann，Neumaier和Waldmann使用的连接在Riemannian歧管的Cotangent Bundle上构建了Fedosov Standard订购的Star Product，这是通过在Yano和Talterson的义务中完全实现的Riemannian歧管捆绑包。就局部坐标而言，Plebanski，Przanowski和Turrubiates已经表明了这一点。
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.
