The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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POINTS AT INFINITY OF COMPLETE OPEN RIEMANNIAN MANIFOLDS

  • Kim, Tae-Soon (Department of Mathematics Education, Mokwon University) ;
  • Jeon, Myung-Jin (Department of Computer and Manthematical Science, Semyung University)
  • Published : 2004.11.01
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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.

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