An Intrinsic Characterization of Foldings of Euclidean Space
J. Lawrence
Deparment of Mathematics George Mason University, Fairfax, Virginia 22030J.E. Spingarn
School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
Abstract
A folding q : Rd → Rd 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