A Metric property of Umbilic points
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| Format: | Artículo científico |
| Language: | en |
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Academia Brasileira de Ciências
2003
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| _version_ | 1876474851937484800 |
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| author | Ronaldo Garcia |
| author_facet | Ronaldo Garcia |
| contents | A Metric property of Umbilic points Ronaldo Garcia Jorge Sotomayor Multidisciplinaria (Ciencias Naturales y Exactas) Umbilic point principal curvature lines In the space of cubic forms of surfaces, regarded as aG-space and endowed with a natural invariantmetric, the ratio of umbilic points with a negative index to those with a positive index is evaluatedin terms of the asymmetry of the metric, defined here. This work contains also a section withreferences pertinent to umbilic points and one with a discussion of a connection of the abovedefined ratio with that reported in 1977 by Berry and Hannay in the domain of Statistical Physics. 2003 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32775401 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.4 Vol.75 |
| format | Artículo científico |
| id | redalyc_32775401 |
| institution | Redalyc |
| language | en |
| publishDate | 2003 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | A Metric property of Umbilic points Ronaldo Garcia Multidisciplinaria (Ciencias Naturales y Exactas) Umbilic point principal curvature lines A Metric property of Umbilic points Ronaldo Garcia Jorge Sotomayor Multidisciplinaria (Ciencias Naturales y Exactas) Umbilic point principal curvature lines In the space of cubic forms of surfaces, regarded as aG-space and endowed with a natural invariantmetric, the ratio of umbilic points with a negative index to those with a positive index is evaluatedin terms of the asymmetry of the metric, defined here. This work contains also a section withreferences pertinent to umbilic points and one with a discussion of a connection of the abovedefined ratio with that reported in 1977 by Berry and Hannay in the domain of Statistical Physics. 2003 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32775401 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.4 Vol.75 |
| title | A Metric property of Umbilic points |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) Umbilic point principal curvature lines |
| url | https://www.redalyc.org/articulo.oa?id=32775401 |