References
- J. Diff. Geom. v.33 Manifolds near the boundary of existence Grove, K.;P. Petersen V,
Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 35 Issue 1
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- Pages.189-193
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- 1998
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
On the gromov-havsdorff convergence of geodesics
- Kim, Young-Wook (Department of Mathematics, Korea University, Seoul 136-701)
- Published : 1998.02.01
Abstract
In this paper we construct a sequence of spaces which has Gromov-Hausdorff limit such that a geodesic in the limit space is not realized as a limit of geodesics in the spaces of the sequence. This contrasts with the result of Grove and Petersen in [1] where they proved otherwise for Alexandrov spaces with common curvature bounds.