한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)
- 제11권4호
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- Pages.309-321
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- 2004
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
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)
- 발행 : 2004.11.01
초록
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.