Constant Mean Curvature Surfaces in Hyperbolic Space
Copyright policy )Constant Mean Curvature Surfaces in Hyperbolic Space
The authors study the global geometry of complete, proper surfaces in hyperbolic \((n+1)\)-space with constant curvature \(>n\). Main results are, that such are never closed surfaces with only one puncture. If they have two punctures that are Delaunay cylinders, and if they have 3 punctures they remain a bounded distance from a geodesic plane. As in the Euclidean case, annular ends converge to Delaunay surfaces.
- University of Massachusetts Amherst United States
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Delaunay cylinders, positive flux, annular ends, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, Alexandrov reflection, Delaunay surfaces
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Delaunay cylinders, positive flux, annular ends, Minimal surfaces in differential geometry, surfaces with prescribed mean curvature, Alexandrov reflection, Delaunay surfaces
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