Enneper representation of minimal surfaces in the Euclidean and Lorentz-Minkowski ...
Geometry of manifolds in the euclidian space and in the Minkowski space
An introduction to differential geometry of curves and surfaces in Minkowski space
| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] UFG, Dept Matemat, CP 03, BR-75801615 Jatai, Go - Brazil
[2] Univ Sao Paulo, ICMC, Dept Matemat, CP 668, BR-13560970 Sao Carlos, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Annali di Matematica Pura ed Applicata; v. 197, n. 1, p. 21-39, FEB 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
In this paper, we will give an Enneper-type representation for spacelike and timelike minimal surfaces in the Lorentz-Minkowski space , using the complex and the paracomplex analysis (respectively). Then, we exhibit various examples of minimal surfaces in constructed via the Enneper representation formula that it is equivalent to the Weierstrass representation obtained by Kobayashi (for spacelike immersions) and by Konderak (for the timelike ones). (AU) | |
| FAPESP's process: | 15/00692-5 - Biharmonic surfaces in three-dimensional Riemannian manifolds |
| Grantee: | Irene Ignazia Onnis |
| Support Opportunities: | Regular Research Grants |