6533b7cffe1ef96bd12598e8

RESEARCH PRODUCT

Duality of moduli in regular toroidal metric spaces

Atte Lohvansuu

subject

30L10 30C65 28A75 51F99Pure mathematicsmetric spacesToroidDuality (optimization)torusMetric Geometry (math.MG)TorusArticlesmetriset avaruudetModulifunktioteoriaMetric spaceContinuationMathematics - Metric GeometrymodulusFOS: MathematicsdualitymittateoriageometriaMathematics::Symplectic GeometryMathematics

description

We generalize a result of Freedman and He [4, Theorem 2.5], concerning the duality of moduli and capacities in solid tori, to sufficiently regular metric spaces. This is a continuation of the work of the author and Rajala [12] on the corresponding duality in condensers. peerReviewed

https://doi.org/10.5186/aasfm.2021.4610