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比利时vs摩洛哥足彩
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比利时vs摩洛哥足彩
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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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