Flat surfaces in the hyperbolic 3-space

Citation
Ja. Galvez et al., Flat surfaces in the hyperbolic 3-space, MATH ANNAL, 316(3), 2000, pp. 419-435
Citations number
9
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ANNALEN
ISSN journal
00255831 → ACNP
Volume
316
Issue
3
Year of publication
2000
Pages
419 - 435
Database
ISI
SICI code
0025-5831(200003)316:3<419:FSITH3>2.0.ZU;2-A
Abstract
In this paper we give a conformal representation of flat surfaces in the hy perbolic 3-space using the complex structure induced by its second fundamen tal form. We also study some examples and the behaviour at infinity of comp lete flat ends. Mathematics Subject Classification (1991): 53A35, 53C42.