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Timeline for hyperbolic metrics

Current License: CC BY-SA 3.0

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S Mar 18, 2015 at 22:51 history suggested CommunityBot CC BY-SA 3.0
Added MathJax $
Mar 18, 2015 at 22:46 review Close votes
Mar 19, 2015 at 5:43
Mar 18, 2015 at 22:41 review Suggested edits
S Mar 18, 2015 at 22:51
Mar 18, 2015 at 21:56 comment added YCor @DanGallo: thank you. If you say "greater than", it means that you have an order relation in mind, which you finally answered (I didn't guess the order because "metric" can refer both to the Riemannian 2-tensor and to the distance it determines)
Mar 18, 2015 at 21:36 comment added Dan Gallo YCor- My question is just whether the distance between two points in one metric is greater than or equal to the distance between the same two points in the other metric.
Mar 18, 2015 at 21:33 comment added Dan Gallo YCor- I am not familiar with order relations on metrics.
Mar 18, 2015 at 21:14 comment added YCor @DanGallo could you answer Ryan's request? it's maybe standard language for you and and Sam Nead, but not everybody.
Mar 18, 2015 at 20:58 answer added Sam Nead timeline score: 3
Mar 18, 2015 at 20:36 comment added Ian Agol This is true essentially by the Schwarz lemma. en.wikipedia.org/wiki/Schwarz_lemma
Mar 18, 2015 at 20:34 comment added Ryan Budney What is your order relation on metrics? If you say one metric is less than another if and only if one domain is contained in another, then I have a proof.
Mar 18, 2015 at 20:23 history asked Dan Gallo CC BY-SA 3.0