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

页码：682 / 688

页数：7

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