Differentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon Nikodym property

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dc.creatorCheeger, Jeff
dc.creatorKleiner, Bruce
dc.date2008-08-24
dc.date.accessioned2026-07-07T09:58:11Z
dc.date.available2026-07-07T09:58:11Z
dc.descriptionWe prove the differentiability of Lipschitz maps X-->V, where X is a complete metric measure space satisfying a doubling condition and a Poincaré inequality, and V is a Banach space with the Radon Nikodym Property (RNP). The proof depends on a new characterization of the differentiable structure on such metric measure spaces, in terms of directional derivatives in the direction of tangent vectors to suitable rectifiable curves.
dc.identifierhttps://arxiv.org/abs/0808.3249
dc.identifierhttp://arxiv.org/abs/0808.3249
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167623
dc.subjectMetric Geometry
dc.subjectDifferential Geometry
dc.subjectFunctional Analysis
dc.subject46B22 (Primary) 46G05 (Secondary)
dc.titleDifferentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon Nikodym property
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