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Jan 28, 2023 at 12:45 review Close votes
Feb 21, 2023 at 3:03
Jul 8, 2014 at 10:49 comment added Misha Suppose you are dealing with complete manifolds. The you are looking at quadratic/linear functions on $R^n$ which are invariant under the action of the Bieberbach group of covering transformations. Such functions hardly ever exist (you can classify when).
Jul 8, 2014 at 5:41 comment added Ali Taghavi @Misha How can we globalize?
Jul 8, 2014 at 5:34 comment added Misha Your assumption means that the metric g is locally flat. Now you can solve your own problem. In any case, this is more suitable for the MSE, since it is not at research level.
Jul 8, 2014 at 4:41 history asked Ali Taghavi CC BY-SA 3.0