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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.11 No.4

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Points at infinity of complete open Riemannian manifolds

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2004, v.11 no.4, pp.309-321
Kim, Tae-Soon
Jeon, Myung-Jin
Kim,, T. , & Jeon,, M. (2004). Points at infinity of complete open Riemannian manifolds. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 11(4), 309-321.

Abstract

For a complete open Riemannian manifold, the ideal boundary consists of points at infinity. The so-called Busemann-functions play the role of distance functions for points at infinity. We study the similarity and difference between Busemann-functions and ordinary distance functions.

keywords
ideal boundary, conjugate point, cut point.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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