A duality result between the minimal surface equation and the maximal surface equation
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| Format: | Artículo científico |
| Language: | en |
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Academia Brasileira de Ciências
2001
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| _version_ | 1876458118422986752 |
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| author | Luis J. Alías |
| author_facet | Luis J. Alías |
| contents | A duality result between the minimal surface equation and the maximal surface equation Luis J. Alías Bennett Palmer Multidisciplinaria (Ciencias Naturales y Exactas) Calabi Bernsteins theorem Minimal surface equation Maximal surface equation In this note we show how classical Bernsteins theorem on minimal surfaces in the Euclideanspace can be seen as a consequence of Calabi-Bernsteins theorem on maximal surfaces in theLorentz-Minkowski space (and viceversa). This follows from a simple but nice duality betweensolutions to their corresponding differential equations. 2001 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32773202 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.73 |
| format | Artículo científico |
| id | redalyc_32773202 |
| institution | Redalyc |
| language | en |
| publishDate | 2001 |
| publisher | Academia Brasileira de Ciências |
| spellingShingle | A duality result between the minimal surface equation and the maximal surface equation Luis J. Alías Multidisciplinaria (Ciencias Naturales y Exactas) Calabi Bernsteins theorem Minimal surface equation Maximal surface equation A duality result between the minimal surface equation and the maximal surface equation Luis J. Alías Bennett Palmer Multidisciplinaria (Ciencias Naturales y Exactas) Calabi Bernsteins theorem Minimal surface equation Maximal surface equation In this note we show how classical Bernsteins theorem on minimal surfaces in the Euclideanspace can be seen as a consequence of Calabi-Bernsteins theorem on maximal surfaces in theLorentz-Minkowski space (and viceversa). This follows from a simple but nice duality betweensolutions to their corresponding differential equations. 2001 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32773202 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.73 |
| title | A duality result between the minimal surface equation and the maximal surface equation |
| topic | Multidisciplinaria (Ciencias Naturales y Exactas) Calabi Bernsteins theorem Minimal surface equation Maximal surface equation |
| url | https://www.redalyc.org/articulo.oa?id=32773202 |