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Algebra i Analiz, 2004 Volume 16, Issue 6, Pages 128–161 (Mi aa641)
This article is cited in 36 papers

Research Papers

Differentiation in metric spaces

A. Lytchak

Mathematisches Institut, Universität Bonn, Germany

Abstract: Differentiation of Lipschitz maps between abstract metric spaces is discussed. Differentiability of isometries, first variation formula, and Rademacher-type theorems are studied.

Keywords: Alexandrov spaces, Rademacher theorem, variation formulas, tangent cones.

Received: 12.05.2004

Language: English


 English version: St. Petersburg Mathematical Journal, 2005, 16:6, 1017–1041

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