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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 258 - Differential Geometry
Takumi Yokota
Kyoto University
Convex functions and barycenters on CAT(1)-spaces of small radii.
Abstract:
We establish a new local convex property of CAT(1)-spaces, which are metric spaces of curvature at most 1 in the sense of Aleaxandrov, by showing that a function which has its origin in the study of harmonic maps is convex on any small ball of a CAT(1)-space. As an application, we also discuss barycenters of probability measures on CAT(1)-spaces.
Host: Lei Ni
February 28, 2013
9:00 AM
AP&M 7218
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