Shin-ichi Ohta
Markov type of Alexandrov spaces of nonnegative curvature.
Wed, 09/09/2009 - 22:08 — SomNambulAuthors: Shin-ichi Ohta
Subjects: Metric Geometry
AbstractWe prove that Alexandrov spaces $X$ of nonnegative curvature have Markov type
2 in the sense of Ball. As a corollary, any Lipschitz continuous map from a
subset of $X$ into a 2-uniformly convex Banach space is extended as a Lipschitz
continuous map on the entire space $X$.Markov type of Alexandrov spaces of nonnegative curvature.
Wed, 09/09/2009 - 22:08 — SomNambulAuthors: Shin-ichi Ohta
Subjects: Metric Geometry
AbstractWe prove that Alexandrov spaces $X$ of nonnegative curvature have Markov type
2 in the sense of Ball. As a corollary, any Lipschitz continuous map from a
subset of $X$ into a 2-uniformly convex Banach space is extended as a Lipschitz
continuous map on the entire space $X$.Vanishing S-curvature of Randers spaces.
Wed, 09/09/2009 - 22:08 — SomNambulAuthors: Shin-ichi Ohta
Subjects: Differential Geometry
AbstractWe give a necessary and sufficient condition on a Randers space for the
existence of a measure for which Shen's S-curvature vanishes everywhere.
Moreover, such a measure coincides with the Busemann-Hausdorff measure up to a
constant multiplication.
User login
