K. Ciosmak

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20162026

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math.MG2026

Measure contraction property on isometric leaves and monotone fibres

Krzysztof J. Ciosmak

For finite measures with positive densities on convex Euclidean supports, we prove that $M C P (κ, N)$ passes with unchanged parameters to almost every isometric leaf of an arbitrary n…

math.MG2021

Leaves decompositions in Euclidean spaces

Krzysztof J. Ciosmak

We partly extend the localisation technique from convex geometry to the multiple constraints setting. For a given $1$ -Lipschitz map $u : R^{n} \to R^{m}$ , $m \leq n$ ,…

math.MG2019

Leaves decompositions in Euclidean spaces and optimal transport of vector measures

Krzysztof J. Ciosmak

For a given $1$ -Lipschitz map $u : R^{n} \to R^{m}$ we define a partition, up to a set of Lebesgue measure zero, of $R^{n}$ into maximal closed convex sets su…