Half-space theorems for mean curvature one surfaces in hyperbolic space
نویسندگان
چکیده
منابع مشابه
Mean Curvature One Surfaces in Hyperbolic Space, and Their Relationship to Minimal Surfaces in Euclidean Space
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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The first author studied spacelike constant mean curvature one (CMC-1) surfaces in de Sitter 3-space S 1 when the surfaces have no singularities except within some compact subset and are of finite total curvature on the complement of this compact subset. However, there are many CMC-1 surfaces whose singular sets are not compact. In fact, such examples have already appeared in the construction o...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1998
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-98-04510-9