论文标题
在大喷口上消失的X曲面
On sprays with vanishing X-curvature
论文作者
论文摘要
每个Riemannian指标或歧管上的Finsler指标都通过其大地测量诱导喷雾。在本文中，我们讨论了喷雾的X曲面的几种表达式。我们表明，使用S横向的投影变形获得的喷雾总是消失的X曲面。然后，我们用x = 0建立大喷口的beltrami定理
Every Riemannian metric or Finsler metric on a manifold induces a spray via its geodesics. In this paper, we discuss several expressions for the X-curvature of a spray. We show that the sprays obtained by a projective deformation using the S-curvature always have vanishing X-curvature. Then we establish the Beltrami Theorem for sprays with X=0
