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 the Kodaira dimension of X is zero. We provide examples in the case M=GxG, 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 / Andrea Cattaneo; Antonella Nannicini; Adriano Tomassini. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - (In corso di stampa), pp. 1-19.
Almost complex parallelizable manifolds Kodaira dimension and special structures
Antonella Nannicini;
In corso di stampa
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 the Kodaira dimension of X is zero. We provide examples in the case M=GxG, where G is a compact connected real Lie group. Finally we describe geometrical properties of real parallelizable manifolds in the framework of statistical geometry.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.