论文标题
在pontrjagin的喷雾歧管类别上
On the Pontrjagin classes of spray manifolds
论文作者
论文摘要
在本地的扁平指标（或喷雾剂）中，在Finsler和Spray几何形状中形成了丰富的指标（或喷雾剂）。在常规情况下，这种指标的表征是希尔伯特的第四个问题。在本文中，我们研究了给定喷雾结构的歧管的pontrjagin类，并表明配备了局部较平坦的鳍状指标（或喷雾）的歧管为零pontrjagin类。
Locally projectively flat metrics (or sprays) form a rich class of metrics (or sprays) in Finsler and spray geometry. The characterization of such metrics is the Hilbert Fourth Problem in the regular case. In this paper we study the Pontrjagin classes of a manifold given a spray structure, and show that a manifold equipped with a locally projectively flat Finsler metric (or spray) has zero Pontrjagin classes.
