Bulletin of the
Korean Mathematical Society BKMS

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.

Keywords: conjugate points, lens equivalence, asymptotically \break Euclidean

MSC numbers: Primary 53C20