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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Format: | Article |
Language: | English |
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Wiley
2005-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/IJMMS.2005.91 |
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_version_ | 1832548647871447040 |
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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. |
format | Article |
id | doaj-art-f19bcb56b163439abcf6ac68b2508f55 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2005-01-01 |
publisher | Wiley |
record_format | Article |
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 |