On the Number of Solutions of Asymptotic Plateau Problem

Geometry & Topology
Event time: 
Thursday, November 10, 2005 - 11:30am to 12:30am
431 DL
Baris Coskunuzer
Speaker affiliation: 
Yale University
Event description: 

abstract: We give a simple topological argument to show that the number of solutions of the asymptotic Plateau problem in hyperbolic space is generically unique. In particular, we show that the space of codimension-1 closed submanifolds of sphere at infinity, which bounds a unique absolutely area minimizing hypersurface in hyperbolic n-space, is generic in the space of all codimension-1 closed submanifolds at infinity.