Almost complex parallelizable manifolds: Kodaira dimension and special structures

被引：2
|
作者：
Cattaneo, Andrea [1 ]
Nannicini, Antonella [2 ]
Tomassini, Adriano [1 ]
机构：
[1] Univ Parma, Dipartimento Sci Matematiche Fis & Informat, Unita Matemat & Informat, Parco Area Sci 53-A, I-43124 Parma, Italy
[2] Univ Firenze, Dipartimento Matemat Informat U Dini, Viale Morgagni 67-A, I-50134 Florence, Italy
来源：
MANUSCRIPTA MATHEMATICA | 2024年 / 173卷 / 3-4期
关键词：
32Q60; 53C56; LEFT INVARIANT METRICS;
D O I：
10.1007/s00229-023-01496-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 = GxG, whereG is a compact connected real Lie group. Finally we describe geometrical properties of real parallelizable manifolds in the framework of statistical geometry.
引用
收藏
页码：1123 / 1145
页数：23
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