Bull. Korean Math. Soc. 1998; 35(4): 741-751
Printed December 1, 1998
Copyright © The Korean Mathematical Society.
Dong-Soong Han
JeonJu University
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
1998; 35(1): 25-32
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