Mathematics – Differential Geometry
Scientific paper
2001-02-05
Tohoku Math. J. 55 (2003), 375-395
Mathematics
Differential Geometry
19 pages, 5 figures
Scientific paper
In this work, complete constant mean curvature 1 (CMC-1) surfaces in
hyperbolic 3-space with total absolute curvature at most 4 pi are classified.
This classification suggests that the Cohn-Vossen inequality can be sharpened
for surfaces with odd numbers of ends, and a proof of this is given.
Rossman Wayne
Umehara Masaaki
Yamada Kotaro
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