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arXiv · 2207.04458

Almost complex parallelizable manifolds: Kodaira dimension and special structures

Andrea Cattaneo·Antonella Nannicini·Adriano Tomassini
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Abstract

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.

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Andrea Cattaneo, Antonella Nannicini, Adriano Tomassini. 2022-07-10. Almost complex parallelizable manifolds: Kodaira dimension and special structures. https://arxiv.org/abs/2207.04458

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