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On deformations of spherical isometric foldings

Ana M. Breda;  Altino F. Santos — 2010

Czechoslovak Mathematical Journal

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 spherical isometric folding f s defined by f s ( x , y , z ) = ( x , y , | z | ) .

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