International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 1, Pages 91-97
Image sets of folding surfaces
Department of Mathematics, University of Aveiro, Aveiro 3810-193, Portugal
Received 27 January 2004
Copyright © 2005 Ana M. d'Azevedo Breda. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Isometric foldings are a special class of length-preserving maps
of Riemannian manifolds and were initially studied by S.
Robertson. For an explanation of their topological and
combinatorial properties, see the related works of Ana Breda,
Altino Santos, M. El-Ghoul, and E. M. Elkholy. Here, we explore
some properties of the singular set and describe the image set of
planar, spherical, and hyperbolic foldings.