Semi-cotangent bundle and problems of lifts

被引：7

作者：

Yildirim, Furkan ^{[1
]}

Salimov, Arif ^{[1
]}

机构：

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

来源：

TURKISH JOURNAL OF MATHEMATICS | 2014年 / 38卷 / 02期

关键词：

Vector field; complete lift; basic; 1-form; semi-cotangent bundle;

D O I：

10.3906/mat-1306-46

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the fiber bundle M over a manifold B, we define a semi-cotangent (pull-back) bundle t*B, which has a degenerate symplectic structure. We consider lifting problem of projectable geometric objects on M to the semi-cotangent bundle. Relations between lifted objects and a degenerate symplectic structure are also presented.

引用

页码：325 / 339

页数：15