Metric differentiation, monotonicity and maps to \(L^{1}\)

DOI10.1007/s00222-010-0264-9zbMath1214.46013arXiv0907.3295OpenAlexW3104961280MaRDI QIDQ607646

Bruce Kleiner, Jeff Cheeger

Publication date: 23 November 2010

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.3295

zbMATH Keywords

Heisenberg groupCarathéodory metricbi-Lipschitz embeddingscut metricsglobal analysis in infinite-dimensional manifolds

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Topology of infinite-dimensional manifolds (57N20) Local Lie groups (22E05) Nonlinear classification of Banach spaces; nonlinear quotients (46B80) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85) Geometric embeddings of metric spaces (30L05)

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