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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.11 No.4

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POINTS AT INFINITY OF COMPLETE OPEN RIEMANNIAN MANIFOLDS

Points at infinity of complete open Riemannian manifolds

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2004, v.11 no.4, pp.309-321
Kim, Tae-Soon (Department of Mathematics Education, Mokwon University)
Jeon, Myung-Jin (Department of Computer and Manthematical Science, Semyung University)
Kim, Tae-Soon, & Jeon, Myung-Jin. (2004). POINTS AT INFINITY OF COMPLETE OPEN RIEMANNIAN MANIFOLDS. , 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.

한국수학교육학회지시리즈B:순수및응용수학

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