On a class of almost-Hermitian structures on tangent bundles

被引：0
|
作者：
Zayatuev, BV [1 ]
机构：
[1] Moscow State Pedag Univ, Moscow 119435, Russia
来源：
MATHEMATICAL NOTES | 2004年 / 76卷 / 5-6期
关键词：
almost-Hermitian structures; Kahlerian manifolds; Gray-Hervella classes; tangent bundle; Koszul formalism; almost-Kahlerian connection; sectional curvature;
D O I：
10.1023/B:MATN.0000049667.15551.02
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a new almost-Hermitian structure of anti-invariant type on tangent bundles and deduce criteria for this structure to belong to all the Gray-Hervella classes. In particular, we prove that the tangent bundles over Kahlerian and semi-Kahlerian manifolds carry, respectively, a Kahlerian and a semi-Kahlerian structure.
引用
收藏
页码：682 / 688
页数：7
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