Tohoku Mathematical Journal
2003
December
SECOND SERIES VOL. 55, NO. 4

Tohoku Math. J.
55 (2003), 467-476

Title COMPLETE CONSTANT GAUSSIAN CURVATURE SURFACES IN THE MINKOWSKI SPACE AND HARMONIC DIFFEOMORPHISMS ONTO THE HYPERBOLIC PLANE

Author Jose A. Gálvez, Antonio Martínez and Francisco Milán

(Received September 3, 2001, revised June 27, 2002)
Abstract. 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.

2000 Mathematics Subject Classification. Primary 53C42; Secondary 53C43, 58E20.
Key words and phrases. Gaussian curvature, Weierstrass representation, harmonic maps.

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