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arXiv:0908.1307 [math.DG]AbstractReferencesReviewsResources

Value distribution of the hyperbolic Gauss maps for flat fronts in hyperbolic three-space

Yu Kawakami

Published 2009-08-10, updated 2010-01-18Version 3

We give an effective estimate for the totally ramified value number of the hyperbolic Gauss maps of complete flat fronts in the hyperbolic three-space. As a corollary, we give the upper bound of the number of exceptional values of them for some topological cases. Moreover, we obtain some new examples for this class.

Comments: 14 pages, to appear in Houston Journal of Mathematics
Journal: Houston J. Math., 38 (2012), 115-130
Categories: math.DG, math.CV
Subjects: 53A10, 30D35, 53A35, 53C42
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