Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation

Jeff Cheeger; Bruce Kleiner; Andrea Schioppa

doi:10.1515/agms-2016-0005

Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation

Jeff Cheeger, Bruce Kleiner, Andrea Schioppa

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	104-159
Number of pages	56
Journal	Analysis and Geometry in Metric Spaces
Volume	4
Issue number	1
DOIs	https://doi.org/10.1515/agms-2016-0005
State	Published - 2016

Keywords

Metric measure space
bi-Lipschitz embedding
differentiability space
measurable differentiable structure
metric differentiation

ASJC Scopus subject areas

Analysis
Geometry and Topology
Applied Mathematics

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KW - measurable differentiable structure

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Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation

Abstract

Keywords

ASJC Scopus subject areas

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