[Banach] Abstract of a paper by Jeff Cheeger and Bruce Kleiner

This is an announcement for the paper "Differentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon Nikodym property" by Jeff Cheeger and Bruce Kleiner.

Abstract: We prove the differentiability of Lipschitz maps X---->V, where X is a complete metric measure space satisfying a doubling condition and a Poincar'e inequality, and V is a Banach space with the Radon Nikodym Property (RNP). The proof depends on a new characterization of the differentiable structure on such metric measure spaces, in terms of directional derivatives in the direction of tangent vectors to suitable rectifiable curves.

Archive classification: math.MG math.DG math.FA

Mathematics Subject Classification: 46B22 (primary), 46G05 (secondary)

The source file(s), pirnp.bbl: 3004 bytes

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/0808.3249

or

http://arXiv.org/abs/0808.3249

or by email in unzipped form by transmitting an empty message with subject line

uget 0808.3249

or in gzipped form by using subject line

get 0808.3249

to: math@arXiv.org.