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Differentiation in metric spaces

Author(s): A. Lytchak
Original publication: Algebra i Analiz, tom 16 (2004), vypusk 6.
Journal: St. Petersburg Math. J. 16 (2005), 1017-1041.
MSC (2000): Primary 53C20
Posted: November 22, 2005
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Abstract | References | Similar articles | Additional information

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

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Additional Information:

A. Lytchak
Affiliation: Mathematisches Institut, Universität Bonn, Beringstr. 1, Bonn 53115, Germany
Email: lytchak@math.uni-bonn.de

DOI: 10.1090/S1061-0022-05-00888-5
PII: S 1061-0022(05)00888-5
Keywords: Aleksandrov spaces, Rademacher theorem, variation formulas, tangent cones
Received by editor(s): 12/MAY/2004
Posted: November 22, 2005
Copyright of article: Copyright 2005, American Mathematical Society

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