Optimal Transport Maps on Metric Measure Spaces and the Curvature-Dimension Condition CD(K,N)

Zenodo (CERN European Organization for Nuclear Research) 2026 Open access

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Authors: Zen Revista, 10 MFC
DOI: 10.5281/zenodo.18146322
Cited by: 0

Abstract

We establish the existence and uniqueness of Monge maps in essentially non-branching metric measure spaces satisfying the curvature-dimension condition CD(K,N) via a variational analysis of the Renyi entropy functional on the Wasserstein space.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Geometry and complex manifolds Mathematical Dynamics and Fractals

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
4 January 2026