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Topology/Geometry Seminar

"INTERIOR CURVATURE ESTIMATES AND THE ASYMPTOTIC PLATEAU PROBLEM IN HYPERBOLIC SPACE"

Location: 
Date & time: Tuesday, 04 April 2017 at 3:30PM -

Ling Xiao, Rutgers University

"INTERIOR CURVATURE ESTIMATES AND THE ASYMPTOTIC PLATEAU PROBLEM IN HYPERBOLIC SPACE"
Time: 3:30 PM
Location: Hill 005
Abstract: In this talk, we will show for a very general class of curvature functions defined in the positive cone, there exists complete strictly locally convex hypersurfaces in \(mathbb{H}^{n+1}\) with constant curvature. We will also show that, under certain assumptions, this constant general curvature hypersurface in hyperbolic space is unique. If we have time, we will show a strong duality theorem of hyperbolic space and De Sitter space.

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