On deformations of spherical isometric foldings |
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Authors: | Ana M. Breda Altino F. Santos |
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Affiliation: | 1.Department of Mathematics,University of Aveiro,Aveiro,Portugal;2.Department of Mathematics,U.T.A.D.,Vila Real,Portugal |
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Abstract: | The behavior of special classes of isometric foldings of the Riemannian sphere S 2 under the action of angular conformal deformations is considered. It is shown that within these classes any isometric folding is continuously deformable into the standard spherical isometric folding f s defined by f s (x, y, z) = (x, y, |z|). |
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