Talk:Hjelmslev transformation
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[edit]I am not finished with this article yet... more to come. SJCstudent 19:00, 6 January 2006 (UTC)
As C S points out at Talk:Hyperbolic geometry this page appears to describe something related to the Klein-Beltrami model of the hyperbolic plane. What exactly the relationship is, I can't quite make out. I've never heard of anything called a Hjelmslev transformation in hyperbolic geometry. Could you provide some references from which you are working? -- Fropuff 06:19, 24 January 2006 (UTC)
In terms of the Klein model, this transformation seems to amount to taking every vector of norm less than one, which represents a point in the Klein model, and multiplying it by a fixed scalar less than one in absolute value. This maps the entire hyperbolic plane into a disk model inside of the hyperbolic plane. As the scalar k tends towards zero, this becomes increasingly close to simply being the Klein model itself. However, I'm a litte leary of rewriting this article based on this understanding of what it means without a reference. Gene Ward Smith 22:21, 20 April 2006 (UTC)