A Picard type theorem for Hyperbolic Gauss Map of CMC-1 Surfaces in Hyperbolic 3-space and de Sitter 3-space
Differential Geometry
2019-06-24 v1
Abstract
In a recent paper Jorge and Mercuri proved that the image of Gauss map of a complete non flat minimal surfaces in R3 with finite total curvature omits at most 2 points. In this work we follow their idea and prove 3a similar result for CMC-1 with finite total curvature in H and CMC-1 faces with finite type and regular ends in S31.
Keywords
Cite
@article{arxiv.1906.09106,
title = {A Picard type theorem for Hyperbolic Gauss Map of CMC-1 Surfaces in Hyperbolic 3-space and de Sitter 3-space},
author = {Nicolas A. de Andrade and Luquesio P. Jorge},
journal= {arXiv preprint arXiv:1906.09106},
year = {2019}
}
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20 pages