JACOBI FIELDS AND CONJUGATE POINTS IN A COMPLETE RIEMANNIAN MANIFOLD

  • Cheoi, Dae Ho (Department of Mathematics Chungbuk National University) ;
  • Kim, Tae Soo (Department of Mathematics Chungbuk National University)
  • Received : 1998.06.29
  • Published : 1998.07.31

Abstract

In this paper, we investigate some properties of Jacobi fields and conjugate points in a complete Riemannian manifold M. Also we get a necessary and sufficient condition about a geodesic without conjugate points in the manifold with non-negative curvature.

Keywords