Image sets of folding surfaces

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 explo...

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Main Author: Ana M. d'Azevedo Breda
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.91
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author Ana M. d'Azevedo Breda
author_facet Ana M. d'Azevedo Breda
author_sort Ana M. d'Azevedo Breda
collection DOAJ
description 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.
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institution Kabale University
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publishDate 2005-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-f19bcb56b163439abcf6ac68b2508f552025-02-03T06:13:32ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-0120051919710.1155/IJMMS.2005.91Image sets of folding surfacesAna M. d'Azevedo Breda0Department of Mathematics, University of Aveiro, Aveiro 3810-193, PortugalIsometric 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.http://dx.doi.org/10.1155/IJMMS.2005.91
spellingShingle Ana M. d'Azevedo Breda
Image sets of folding surfaces
International Journal of Mathematics and Mathematical Sciences
title Image sets of folding surfaces
title_full Image sets of folding surfaces
title_fullStr Image sets of folding surfaces
title_full_unstemmed Image sets of folding surfaces
title_short Image sets of folding surfaces
title_sort image sets of folding surfaces
url http://dx.doi.org/10.1155/IJMMS.2005.91
work_keys_str_mv AT anamdazevedobreda imagesetsoffoldingsurfaces