Basic Albanese maps of regular Riemannian foliations
Differential Geometry
2026-01-21 v1
Abstract
In the paper we introduce the notion of basic Albanese map which we define for foliated Riemannian manifolds using basic 1-forms. We relate this mapping to the classical Albanese map for the ambient manifold. The study of general properties is supplemented with the description of several important examples.
Cite
@article{arxiv.2601.13853,
title = {Basic Albanese maps of regular Riemannian foliations},
author = {Kinga Słowik and Robert Wolak},
journal= {arXiv preprint arXiv:2601.13853},
year = {2026}
}