Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature II
classification
🧮 math.DG
keywords
curvaturesurfaceshyperbolicmeanspacetotalabsoluteclassification
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.