具非负Ricci曲率流形上的无共轭点测地线

The Geodesics without Conjugate Points on the Manifold with Nonnegative Ricci Curvature

本文研究了具非负Ｒｉｃｃｉ曲率流形上无共轭点测地线的几何性质，并由此证明了具非负Ｒｉｃｃｉ曲率的无共轭点流形是Ｒｉｃｃｉ平坦的。

： In this paper，We study the character of the geodesic without conjugate pointson the manifold with nonnegative Ricci curvature，and by it we prove that the manifoldwithout conjugate points, if it is Ricci curvature，then it is Ricci flat.