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 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. Keywords : conjugate points, lens equivalence, asymptotically \break Euclidean MSC numbers : Primary 53C20 Downloads: Full-text PDF