加权Sasaki空间的曲率形式和测地线

Curvature Form and Geodesics on the Weighted Sasaki Space

本文给出了加权Sasaki度量的局部表示,利用Kozul公式研究了加权Sasaki空间的切丛几何性质,建立了加权Sasaki空间形式中具有常截面曲率的测地线结构。

In this paper, the local representation of the weighted Sasaki metric is given, the geometric proper-ties of the tangent bundle equipped with weighted Sasaki metric is studied by using Kozul formula, and the geodesic structure with constant sectional curvature in the weighted Sasaki space form is established.