Talk:Poincaré metric

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One might also point out that the upper half plane is effectively a disk of infinite diameter.

[edit] Merger

There's a lot more information on the disk model over at Poincaré disk model. These two pages seem similar enough that I don't see a great need for two separate articles. --Dantheox 22:20, 30 April 2006 (UTC)

I'm against the merger, for multiple reasons: 1) Its OK to duplicate some information across multiple articles. 2) Both articles are already rather long; merging them would make them unmanageably long. 3) Neither article has exhausted what one can say about either topic: much more can be said about the disk, and much more can be said about the metric. 4) The Poincare disk model is about the N-dimensional hyperbolic model. This article (Poincare metric) limits itself to two dimensions only. Although we could generalize this article to N dimensions, there's actually a big difference between two and more than two dimensions: There's rigidity in three and higher dimensions, whereas in two, there is a very rich set of surfaces. One also looses some of the natural connections to number theory and modular forms and complex analysis. Etc. 5) combining them would lead to topic confusion, is the resulting combo about the disk or the metric? Suppose one wanted to talk about the metric on the half-plane? Does that mean we should merge with the half-plane article too? Before long, we'll end up merging a dozen articles because they all contain inter-related info. linas 01:59, 1 May 2006 (UTC)

That's fine.. perhaps a "Main article on this topic" link in the disk section of this article would be a more appropriate course of action. --Dantheox 04:52, 1 May 2006 (UTC)

I think the merger tags should be removed from both articles, as this idea isn't going anywhere. As for a main article link, it isn't clear that the other article is the main article on the metric; it's an article on the model, and mentions the metric very briefly. I'll add a link to the "see also" section. Gene Ward Smith 06:15, 1 May 2006 (UTC)