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Abstract: In this paper, we investigate the asymptotic behavior of regular ends of flatsurfaces in the hyperbolic 3-space H^3. Galvez, Martinez and Milan showed thatwhen the singular set does not accumulate at an end, the end is asymptotic to arotationally symmetric flat surface. As a refinement of their result, we showthat the asymptotic order called -pitch- p of the end determines the limitingshape, even when the singular set does accumulate at the end. If the singularset is bounded away from the end, we have -1


Author: Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara, Kotaro Yamada

Source: https://arxiv.org/







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