On almost complex structures in the cotangent bundle

被引：9

作者：

Salimov, Arif ^{[1
]}

Gezer, Aydin ^{[1
]}

Aslanci, Seher ^{[1
]}

机构：

[1] Ataturk Univ, Fac Sci, Dept Math, TR-25240 Erzurum, Turkey

来源：

TURKISH JOURNAL OF MATHEMATICS | 2011年 / 35卷 / 03期

关键词：

Almost complex structure; cotangent bundle; cross-section; Nijenhuis tensor; analytic tensor field; MANIFOLD;

D O I：

10.3906/mat-0901-31

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

E. M. Patterson and K. Yano studied vertical and complete lifts of tensor fields and connections from a manifold M-n to its cotangent bundle T* (M-n). Afterwards, K. Yano studied the behavior on the cross-section of the lifts of tensor fields and connections on a manifold M-n to T* (M-n) and proved that when phi defines an integrable almost complex structure on M-n, its complete lift (C)phi is a complex structure. The main result of the present paper is the following theorem: Let phi be an almost complex structure on a Riemannian manifold M-n. Then the complete lift (C)phi of phi, when restricted to the cross-section determined by an almost analytic 1-form omega on M-n, is an almost complex structure.

引用

页码：487 / 492

页数：6

共 6 条

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[6]

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