# Extensions of Lipschitz maps into Hadamard spaces

@article{Lang2000ExtensionsOL,
title={Extensions of Lipschitz maps into Hadamard spaces
},
author={Udo Lang and Budimir Pavlovi{\'c} and Valeska Schroeder},
journal={Geometric & Functional Analysis GAFA},
year={2000},
volume={10},
pages={1527-1553}
}
Abstract. We prove that every $\lambda$-Lipschitz map $f : S \to Y$ defined on a subset of an arbitrary metric space X possesses a $c \lambda$-Lipschitz extension $\bar{f} : X \to Y$ for some $c = c(Y) \ge 1$ provided Y is a Hadamard manifold which satisfies one of the following conditions: (i) Y has pinched negative sectional curvature, (ii) Y is homogeneous, (iii) Y is two-dimensional. In case (i) the constant c depends only on the dimension of Y and the pinching constant, in… CONTINUE READING

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