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METRIC AND PERIODIC LINES IN THE POINCARÉ BALL MODEL OF HYPERBOLIC GEOMETRY.
- Source :
- Bulletin of the Iranian Mathematical Society; Sep2012, Vol. 38 Issue 3, p805-815, 11p, 1 Black and White Photograph
- Publication Year :
- 2012
-
Abstract
- In this paper, we prove that every metric line in the Poincaré ball model of hyperbolic geometry is exactly a classical line of it. We also prove nonexistence of periodic lines in the Poincaré ball model of hyperbolic geometry. [ABSTRACT FROM AUTHOR]
- Subjects :
- HYPERBOLIC geometry
METRIC geometry
GEOMETRY
POINCARE series
MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 10186301
- Volume :
- 38
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Bulletin of the Iranian Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 88915853