A duality result between the minimal surface equation and the maximal surface equation
In this note we show how classical Bernstein's theorem on minimal surfaces in the Euclidean space can be seen as a consequence of Calabi-Bernstein's theorem on maximal surfaces in the Lorentz-Minkowski space (and viceversa). This follows from a simple but nice duality between solutions to...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Academia Brasileira de Ciências
2001-01-01
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| Series: | Anais da Academia Brasileira de Ciências |
| Subjects: | |
| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000200002 |