论文标题
带有Anosov测量流的Riemannian歧管没有共轭点
Riemannian manifolds with Anosov geodesic flow do not have conjugate points
论文作者
论文摘要
本文在某些完整的riemannian流形中建立了一个重要的结果。具体而言，我们证明了下面有曲率的任何完整的非压缩歧管，而Anosov Geodesic流都不具有共轭点。这解决了R.Mañé在[9]中留下的一个空旷的问题，随后由[7]突出显示。
This paper establishes a significant result concerning the absence of conjugate points in certain complete Riemannian manifolds. Specifically, we demonstrate that any complete non-compact manifold with curvature bounded below and an Anosov geodesic flow does not possess conjugate points. This resolves an open problem left by R. Mañé in [9] and subsequently highlighted by [7].
