Timeline for Existence of Fermi coordinates on a Riemannian manifold
Current License: CC BY-SA 2.5
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| Mar 19, 2010 at 12:16 | comment | added | Willie Wong | Precisely, in general, not knowing anything about the manifold (M,g), knowing any bound of any k-jet of the metric at one point is not enough to get any control away from the point, since you can always modify (M,g) arbitrarily close to p in any way you want while maintaining the value of any k-jet. If, on the other hand, you have some a priori knowledge of (M,g) [say, certain partial differential relation on g], then you may have a chance. Though usually existence is difficult to prove if you are just given data at a point. | |
| Mar 19, 2010 at 11:36 | history | answered | Thomas Kragh | CC BY-SA 2.5 |