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Image sets of folding surfaces
Author(s) -
Ana M. d’Azevedo Breda
Publication year - 2005
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/ijmms.2005.91
Subject(s) - mathematics , folding (dsp implementation) , image (mathematics) , class (philosophy) , set (abstract data type) , pure mathematics , planar , combinatorics , topology (electrical circuits) , artificial intelligence , computer science , computer graphics (images) , electrical engineering , programming language , engineering
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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