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yesterday comment added Learning math Hello, and thanks for this informative answer. I recently ran into this question as well and read your answer. But I'm not familiar with Berger's lemma about geodesics realizing the diameter, and when I searched it, I couldn't find it. Is it possible for you to either state the lemma or give references to this? I've John Lee's two books on Riemannian geometry, Do Carmo, Sakai and your book on metric geometry.
Apr 15, 2010 at 5:02 vote accept Mauricio
Apr 14, 2010 at 20:12 history edited Anton Petrunin CC BY-SA 2.5
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Apr 14, 2010 at 11:58 comment added Paul Siegel Your advertisement would only have been shameless if there was another book which covered anywhere near the same material.
Apr 14, 2010 at 9:45 history answered Sergei Ivanov CC BY-SA 2.5