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

Abstract

A folding is a nonexpansive mapping that is piecewise isometric. Every such function determines a polyhedral complex whose -dimensional elements are the maximal sets on which 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