Work

Characterization of foliations via disintegration maps

Year: 2026

Type: article

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.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-026-03308-2

Authors: Florentin Münch, Renata Possobon, Christian S. Rodrigues

Institutions: Leipzig University, Universidade Estadual de Campinas (UNICAMP), Max Planck Institute for Mathematics in the Sciences

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

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