An Intrinsic Characterization of Foldings of Euclidean Space

J. Lawrence; J.E. Spingarn

doi:10.1016/s0294-1449(17)30030-6

JournalsaihpcVol. 6pp. 365–383

An Intrinsic Characterization of Foldings of Euclidean Space

J. Lawrence
Deparment of Mathematics George Mason University, Fairfax, Virginia 22030
J.E. Spingarn
School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332

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Abstract

A folding $q : R^{d} \to R^{d}$ is a nonexpansive mapping that is piecewise isometric. Every such function determines a polyhedral complex whose $d$ -dimensional elements are the maximal sets on which $q$ is an isometry. We characterize the complexes which arise from a folding in this manner.

Cite this article

J. Lawrence, J.E. Spingarn, An Intrinsic Characterization of Foldings of Euclidean Space. Ann. Inst. H. Poincaré Anal. Non Linéaire 6 (1989), pp. 365–383

DOI 10.1016/S0294-1449(17)30030-6