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Mar 17 at 13:18 comment added The Amplitwist The link to math.ucsd.edu in the previous comment seems to be broken, but a snapshot is saved on the Wayback Machine.
Oct 15, 2013 at 5:20 comment added user41263 Just as a curiosity, here's an IFT argument about harmonic maps of the standard n-sphere near the identity that Peng Lu and I wrote up for a section in RF Part IV: math.ucsd.edu/~benchow/IFT-HarmonicMapsNearIdentitySn.pdf I assume it is a folklore result and I would like to know if any one has a reference for this.
Mar 17, 2012 at 9:25 comment added alvarezpaiva In fact, if you set up everything the right way as Nijenhuis does in Strong Derivatives and Inverse Mappings Albert Nijenhuis The American Mathematical Monthly Vol. 81, No. 9 (Nov., 1974), pp. 969-980 the inverse function theorem is equivalent to the standard Picard's existence theorem in ODE's (with Lipschiz condition).
Sep 12, 2010 at 4:56 vote accept jlk
Sep 7, 2010 at 3:42 history answered Deane Yang CC BY-SA 2.5