Characterization of foliations via disintegration maps
Abstract In this paper, we present a novel approach for analyzing the relationship between the supports of conditional measures and their geometric arrangement in Wasserstein space via the disintegration map. Our method establishes criteria to determine when such conditional measures arise from a metric measure foliation. Additionally, we provide a example demonstrating how this framework can be applied to study perturbations of disintegration-induced foliations.
Authors
- Florentin Münch (ORCID: https://orcid.org/0009-0008-5842-227X)
- Renata Possobon (ORCID: https://orcid.org/0000-0002-9922-763X)
Institutions
- Leipzig University of Applied Sciences (DE)
- Universidade Estadual de Campinas (UNICAMP) (BR)
- Max Planck Institute for Mathematics in the Sciences (DE)
- Max Planck Institute for Mathematics (DE)
- Leipzig University (DE)
Publication Details
- Journal
- Calculus of Variations and Partial Differential Equations
- Published
- 2026-04-01
- DOI
- https://doi.org/10.1007/s00526-026-03308-2
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Fundação de Amparo à Pesquisa do Estado de São Paulo
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
- Max-Planck-Gesellschaft
- Max-Planck-Institut für Mathematik in den Naturwissenschaften