Asymptotic lens equivalence in manifolds without conjugate points
Bull. Korean Math. Soc. 1998 Vol. 35, No. 4, 741-751
Dong-Soong Han JeonJu University
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.