Basic Albanese maps of regular Riemannian foliations

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Hauptverfasser: Słowik, Kinga, Wolak, Robert
Format: Preprint
Veröffentlicht: 2026
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author Słowik, Kinga
Wolak, Robert
author_facet Słowik, Kinga
Wolak, Robert
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_13853
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Basic Albanese maps of regular Riemannian foliations
Słowik, Kinga
Wolak, Robert
Differential Geometry
53C12
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.
title Basic Albanese maps of regular Riemannian foliations
topic Differential Geometry
53C12
url https://arxiv.org/abs/2601.13853