Almost complex parallelizable manifolds: Kodaira dimension and special structures

We study the Kodaira dimension of a real parallelizable manifold \(M\), with an almost complex structure \(J\) in standard form with respect to a given parallelism. For \(X = (M, J)\) we give conditions under which \(\operatorname{kod}(X) = 0\). We provide examples in the case \(M = G \times G\), wh...

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Bibliographic Details
Published inarXiv.org
Main Authors Cattaneo, Andrea, Nannicini, Antonella, Tomassini, Adriano
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 24.07.2023
Subjects
Lie groups
Manifolds (mathematics)
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Summary:We study the Kodaira dimension of a real parallelizable manifold \(M\), with an almost complex structure \(J\) in standard form with respect to a given parallelism. For \(X = (M, J)\) we give conditions under which \(\operatorname{kod}(X) = 0\). We provide examples in the case \(M = G \times G\), where \(G\) is a compact connected real Lie group. Finally we describe geometrical properties of real parallelizable manifolds in the framework of statistical geometry.
ISSN:2331-8422