ASYMPTOTIC LENS EQUIVALENCE IN MANIFOLDS WITHOUT CONJUGATE POINTS

  • Published : 1998.11.01

Abstract

We prove the asymptotic lens equivalence in manifolds without conjugate points. By using this property we show that under a metric condition of asymptotically Euclidean and the curvature condition decaying faster than quadratic, any surface $(R^2,g)$ without conjugate points is Euclidean.