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Mappings of finite distortion between metric measure spaces
Chang-yu Guosubject
metric measure spacesPure mathematicsInjective metric spaceta111Mathematical analysisMathematicsofComputing_GENERALProduct metricEquivalence of metricsConvex metric spaceIntrinsic metricDistortion (mathematics)mappings of finite distortionMetric (mathematics)Metric mapGeometry and TopologyMathematicsdescription
We establish the basic analytic properties of mappings of finite distortion between proper Ahlfors regular metric measure spaces that support a ( 1 , 1 ) (1,1) -Poincaré inequality. As applications, we prove that under certain integrability assumption for the distortion function, the branch set of a mapping of finite distortion between generalized n n -manifolds of type A A has zero Hausdorff n n -measure.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-04-24 | Conformal Geometry and Dynamics of the American Mathematical Society |