On four dimensional Dupin hypersurfaces in Euclidean space
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| Format: | Artículo científico |
| Sprache: | en |
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Academia Brasileira de Ciências
2003
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| _version_ | 1876477574008274944 |
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| author | Carlos M. C. Riveros |
| author_facet | Carlos M. C. Riveros |
| contents | On four dimensional Dupin hypersurfaces in Euclidean space Carlos M. C. Riveros Keti Tenenblat Multidisciplinaria (Ciencias Naturales y Exactas) Laplace invariants lines of curvature Dupin hypersurfaces principal curvatures Dupin hypersurfaces in five dimensional Euclidean space parametrized by lines of curvature, withfour distinct principal curvatures, are considered. Ageneric family of such hypersurfaces is locallycharacterized in terms of the principal curvatures and four vector valued functions of one variable.These functions are invariant by inversions and homotheties. 2003 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32775101 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.1 Vol.75 |
| format | Artículo científico |
| id | redalyc_32775101 |
| institution | Redalyc |
| language | en |
| publishDate | 2003 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | On four dimensional Dupin hypersurfaces in Euclidean space Carlos M. C. Riveros Multidisciplinaria (Ciencias Naturales y Exactas) Laplace invariants lines of curvature Dupin hypersurfaces principal curvatures On four dimensional Dupin hypersurfaces in Euclidean space Carlos M. C. Riveros Keti Tenenblat Multidisciplinaria (Ciencias Naturales y Exactas) Laplace invariants lines of curvature Dupin hypersurfaces principal curvatures Dupin hypersurfaces in five dimensional Euclidean space parametrized by lines of curvature, withfour distinct principal curvatures, are considered. Ageneric family of such hypersurfaces is locallycharacterized in terms of the principal curvatures and four vector valued functions of one variable.These functions are invariant by inversions and homotheties. 2003 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32775101 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.1 Vol.75 |
| title | On four dimensional Dupin hypersurfaces in Euclidean space |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) Laplace invariants lines of curvature Dupin hypersurfaces principal curvatures |
| url | https://www.redalyc.org/articulo.oa?id=32775101 |