1. On deformations of spherical isometric foldings
- Creator:
- Breda, Ana M. and Santos, Altino F.
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- isometric foldings, edge-to-edge spherical tilings, and homotopy
- Language:
- English
- Description:
- 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 {\it standard} spherical isometric folding $f_s$ defined by $f_s(x,y,z)=(x,y,|z|)$.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public