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| Format: | Artículo científico |
| Language: | en |
| Published: |
Academia Brasileira de Ciências
2000
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| Online Access: | https://www.redalyc.org/articulo.oa?id=32772203 |
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Table of Contents:
- Surfaces in E3 invariant under a one parameter group of isometries of E3 Ioannis M. Roussos Multidisciplinaria (Ciencias Naturales y Exactas) mean group isometry Gaussian Invariant We develop a convenient surface theory in E3 in order to apply it to the class of the surfacesinvariant under a one-parameter group of isometries of E3. In this way we derive intrinsiccharacterizations along with several results of subclasses of this class of surfaces that satisfycertain preassigned properties. In the process all results are also effortlessly derived. Among thesesubclasses are those with surfaces; of constant mean curvature, of constant Gaussian curvature,isothermic, with constant difference or ratio of the principal curvatures. 2000 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32772203 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.2 Vol.72