Infinitesimal Structure of Differentiability Spaces, and Metric Differentiation

• Autorzy: Jeff Cheeger , Bruce Kleiner , Andrea Schioppa
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

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

• Wydawca: De Gruyter Open
• Czasopismo: Analysis and Geometry in Metric Spaces
• Rocznik: 2016
• Tom: 4
• Numer: 1

Daty

otrzymano

2015-10-30

zaakceptowano

2016-07-18

online

2016-08-29

Twórcy

autor

Jeff Cheeger

• Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012-1185 New York, USA

autor

Bruce Kleiner

• Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, 10012-1185 New York, USA

autor

Andrea Schioppa

• ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland

Identyfikatory

DOI

10.1515/agms-2016-0005