We prove metric differentiation for differentiability spaces in the sense of Cheeger [10, 14, 27]. As corollarieswe give a new proof of one of the main results of [14], a proof that the Lip-lip constant of any Lip-lip space in the sense of Keith [27] is equal to 1, and new nonembeddability results.
@article{bwmeta1.element.doi-10_1515_agms-2016-0005,
author = {Jeff Cheeger and Bruce Kleiner and Andrea Schioppa},
title = {Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation},
journal = {Analysis and Geometry in Metric Spaces},
volume = {4},
year = {2016},
zbl = {1360.30047},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_agms-2016-0005}
}
Jeff Cheeger; Bruce Kleiner; Andrea Schioppa. Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation. Analysis and Geometry in Metric Spaces, Tome 4 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_agms-2016-0005/