Minimal maps between the hyperbolic discs and generalized Gauss maps of maximal surfaces in the anti-de Sitter 3-space
Aiyama, Reiko ; Akutagawa, Kazuo ; Wan, Tom Y. H.
Tohoku Math. J. (2), Tome 52 (2000) no. 4, p. 415-429 / Harvested from Project Euclid
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Problems related to minimal maps are studied. In particular, we prove an existence result for the Dirichlet problem at infinity for minimal diffeomorphisms between the hyperbolic discs. We also give a representation formula for a minimal diffeomorphism between the hyperbolic discs by means of the generalized Gauss map of a complete maximal surface in the anti-de Sitter 3-space.
Publié le : 2000-05-14
Classification:  58E20,  53C42,  53C50 
@article{1178207821,
     author = {Aiyama, Reiko and Akutagawa, Kazuo and Wan, Tom Y. H.},
     title = {Minimal maps between the hyperbolic discs and generalized Gauss maps of maximal surfaces in the anti-de Sitter 3-space},
     journal = {Tohoku Math. J. (2)},
     volume = {52},
     number = {4},
     year = {2000},
     pages = { 415-429},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207821}
}

Aiyama, Reiko; Akutagawa, Kazuo; Wan, Tom Y. H. Minimal maps between the hyperbolic discs and generalized Gauss maps of maximal surfaces in the anti-de Sitter 3-space. Tohoku Math. J. (2), Tome 52 (2000) no. 4, pp.  415-429. http://gdmltest.u-ga.fr/item/1178207821/