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arXiv · 2601.13853

Basic Albanese maps of regular Riemannian foliations

Kinga Słowik·Robert Wolak
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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.

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Kinga Słowik, Robert Wolak. 2026-01-20. Basic Albanese maps of regular Riemannian foliations. https://arxiv.org/abs/2601.13853

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