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Kirszbraun's Theorem and Metric Spaces of Bounded Curvature (1997)

Lang, U. ; Schroeder, V.

Springer

Geometric and functional analysis 7 (1997), S. 535-560

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ISSN: 1420-8970

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract. We generalize Kirszbraun's extension theorem for Lipschitz maps between (subsets of) euclidean spaces to metric spaces with upper or lower curvature bounds in the sense of A.D. Alexandrov. As a by-product we develop new tools in the theory of tangent cones of these spaces and obtain new characterization results which may be of independent interest.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/s000390050018

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