대한수학회보 (Bulletin of the Korean Mathematical Society)
- 제35권4호
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- Pages.741-755
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- 1998
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
ASYMPTOTIC LENS EQUIVALENCE IN MANIFOLDS WITHOUT CONJUGATE POINTS
초록
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