Complete constant Gaussian curvature surfaces in the Minkowski space and harmonic diffeomorphisms onto the hyperbolic plane
Gálvez, Jose A. ; Martínez, Antonio ; Milán, Francisco
Tohoku Math. J. (2), Tome 55 (2003) no. 2, p. 467-476 / Harvested from Project Euclid
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We complete the global classification of spacelike surfaces in the Minkowski three-space with constant Gaussian curvature in terms of harmonic diffeomorphisms onto the hyperbolic plane. A harmonic representation of them is also obtained.
Publié le : 2003-12-14
Classification:  Gaussian curvature,  Weierstrass representation,  harmonic maps,  53C42,  53C43,  53C50,  58E20 
@article{1113247124,
     author = {G\'alvez, Jose A. and Mart\'\i nez, Antonio and Mil\'an, Francisco},
     title = {Complete constant Gaussian curvature surfaces in the Minkowski space and harmonic diffeomorphisms onto the hyperbolic plane},
     journal = {Tohoku Math. J. (2)},
     volume = {55},
     number = {2},
     year = {2003},
     pages = { 467-476},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113247124}
}

Gálvez, Jose A.; Martínez, Antonio; Milán, Francisco. Complete constant Gaussian curvature surfaces in the Minkowski space and harmonic diffeomorphisms onto the hyperbolic plane. Tohoku Math. J. (2), Tome 55 (2003) no. 2, pp.  467-476. http://gdmltest.u-ga.fr/item/1113247124/