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.
Almost complex parallelizable manifolds: Kodaira dimension and special structures / Cattaneo, A., Nannicini, A., Tomassini, A.. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - 173:3-4(2024), pp. 1123-1145. [10.1007/s00229-023-01496-1]
Almost complex parallelizable manifolds: Kodaira dimension and special structures
Cattaneo, Andrea;Tomassini, Adriano
2024-01-01
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.| File | Dimensione | Formato | |
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