Mean curvature one surfaces in hyperbolic space, and their relationship to minimal surfaces in Euclidean space |
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Authors: | Wayne Rossman |
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Institution: | (1) Department of Mathematics, Faculty of Science, Kobe University, Rokko, 657-8501 Kobe, Japan |
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Abstract: | We describe local similarities and global differences between minimal surfaces in Euclidean 3-space and constant mean curvature
1 surfaces in hyperbolic 3-space. We also describe how to solve global period problems for constant mean curvature 1 surfaces
in hyperbolic 3-space, and we give an overview of recent results on these surfaces. We include computer graphics of a number
of examples. |
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Keywords: | Math Subject Classifications" target="_blank">Math Subject Classifications primary: 53A10 secondary: 53A35 53A42 |
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