Geodesic
Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation
Analysis and Geometry in Metric Spaces, Tome 4 (2016) no. 1.

Voir la notice de l'article provenant de la source The Polish Digital Mathematics Library

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.
Mots-clés : Metric measure space, bi-Lipschitz embedding, measurable differentiable structure, differentiabilityspace, metric differentiation 
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     author = {Cheeger, Jeff and Kleiner, Bruce and Schioppa, Andrea},
     title = {Infinitesimal {Structure} of {Differentiability} {Spaces,} and {Metric} {Differentiation}},
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Cheeger, Jeff; Kleiner, Bruce; Schioppa, Andrea. Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation. Analysis and Geometry in Metric Spaces, Tome 4 (2016) no. 1. http://geodesic.mathdoc.fr/item/AGMS_2016_4_1_a0/