Metric nonlinear connections on Lie algebroids

被引：0

作者：

Popescu, Liviu ^{[1
]}

机构：

[1] Univ Craiova, Fac Econ, Dept Math & Stat, RO-200585 Craiova, Romania

来源：

BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS | 2011年 / 16卷 / 01期

关键词：

Lie algebroids; dynamical covariant derivative; metric nonlinear connection; HELMHOLTZ CONDITIONS; INVERSE PROBLEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper the problem of compatibility between a nonlinear connection and other geometric structures on Lie algebroids is studied. The notion of dynamical covariant derivative is introduced and a metric nonlinear connection is found in the more general case of Lie algebroids. We prove that the canonical nonlinear connection induced by a regular Lagrangian on a Lie algebroid is the unique connection which is metric and compatible with the symplectic structure.

引用

页码：111 / 121

页数：11

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