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Dec 21, 2013 at 23:08 comment added Igor Rivin @AntonPetrunin I didn't claim we could, and in fact I am sure we cannot, by compactness...
Dec 21, 2013 at 23:02 comment added Anton Petrunin So you can make it arbitrary large, but can you make it infinite?
Dec 21, 2013 at 20:57 comment added Ali Taghavi How can we control, the structure of riemannian metric at infinity, to be real analytic?
Dec 21, 2013 at 20:15 comment added Ali Taghavi after compactification?
Dec 21, 2013 at 20:11 comment added Igor Rivin The surface can easily be made real analytic.
Dec 21, 2013 at 20:07 comment added Ali Taghavi This surface is not $S^{2}$ and after compactification we possibly loose real analytic structure. am I right?
Dec 21, 2013 at 19:59 history answered Igor Rivin CC BY-SA 3.0