Masatoshi Kokubu, Masaaki Umehara, Kotaro Yamada
Published 2003-01-21, updated 2003-06-02Version 3
We shall investigate flat surfaces in hyperbolic 3-space with admissible singularities, called `flat fronts'. An Osserman-type inequality for complete flat fronts is shown. When equality holds in this inequality, we show that all the ends are embedded. Moreover, we shall give new examples for which equality holds.
Comments: 22pages, 10 figures
Complete flat fronts as hypersurfaces in Euclidean space
Flat fronts in hyperbolic 3-space and their caustics
Asymptotic behavior of flat surfaces in hyperbolic 3-space
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