Almost complex parallelizable manifolds: Kodaira dimension and special structures

2022/07/10 by Andrea Cattaneo, Cattaneo, Andrea, Antonella Nannicini +3 · 2 citations
Computer Science · Mathematics · #32Q60 #53C56 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2207.04458

openalex publication_date 2022/07/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 kod(X) = 0. We provide examples in the case M = G × 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.

Cited by

• Kodaira dimension of almost complex 4-manifolds with torsion first Chern class
• On Kodaira dimension and scalar curvature in almost Hermitian geometry

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