Title: INTERIOR CURVATURE ESTIMATES AND THE ASYMPTOTIC PLATEAU PROBLEM IN HYPERBOLIC SPACE

Xiao, Ling, Rutgers, 3:30-4:30pm, 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.