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.
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页码：21 / 45
页数：25
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