Band model
Appearance
This article, Band model, has recently been created via the Articles for creation process. Please check to see if the reviewer has accidentally left this template after accepting the draft and take appropriate action as necessary.
Reviewer tools: Inform author |
In geometry, the band model is a conformal model of the hyperbolic plane. The band model employs a portion of the Euclidean plane between two parallel lines[1]. Distance is preserved along one line through the middle of the band. Assuming the band is given by , the metric is given by .
Geodesics include the line along the middle of the band, and any open line segment perpendicular to boundaries of the band connecting the sides of the band. All geodesics have ends with either are orthogonal to the boundaries of the band or which approach .[2] Lines parallel to the boundaries of the band within the band are hypercycles whose centers are the the line through the middle of the band.
References
- ^ "2" (PDF). Teichmüller theory and applications to geometry, topology, and dynamics. Hubbard, John H. (John Hamal), 1945 or 1946-. Ithaca, NY: Matrix Editions. p. 25. ISBN 9780971576629. OCLC 57965863.
{{cite book}}
: CS1 maint: others (link) - ^ BOWMAN, JOSHUA. "612 CLASS LECTURE: HYPERBOLIC GEOMETRY" (PDF). Retrieved August 12, 2018.
{{cite web}}
: Cite has empty unknown parameter:|dead-url=
(help)
Category:Conformal geometry Category:Hyperbolic geometry
This article, Band model, has recently been created via the Articles for creation process. Please check to see if the reviewer has accidentally left this template after accepting the draft and take appropriate action as necessary.
Reviewer tools: Inform author |