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Mar 18, 2015 at 19:25 comment added Vladimir S Matveev No, since the stereographic projection sends euclidean circles to the circles on the round sphere.
Mar 18, 2015 at 16:15 comment added Ali Taghavi Can a similar argument be applied for the following question: Is there a metric $g$ such that every Euclidien ellipse is a $g$-circle?
Mar 18, 2015 at 16:04 comment added Ali Taghavi Thank you very much for your very interesting answer.
Mar 18, 2015 at 16:03 vote accept Ali Taghavi
Mar 17, 2015 at 11:50 history answered Vladimir S Matveev CC BY-SA 3.0