Chern-flat and Ricci-flat invariant almost Hermitian structures

被引：18

作者：

Di Scala, Antonio J. ^{[1
]}

Vezzoni, Luigi ^{[2
]}

机构：

[1] Politecn Torino, Dipartimento Matemat, Turin, Italy

[2] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2011年 / 40卷 / 01期

关键词：

Homogeneous spaces; Almost Hermitian structure; Chern connection; Ricci tensor; ABELIAN COMPLEX STRUCTURES; MANIFOLDS; NILMANIFOLDS; GEOMETRY;

D O I：

10.1007/s10455-010-9243-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study left-invariant almost Hermitian structures on homogeneous spaces having either flat Chern connection or flat Ricci-Chern form. Many examples are carefully described, and a classification is given in low dimensions.

引用

页码：21 / 45

页数：25

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