A note on metric nonlinear connections on the cotangent bundle

被引：0
|
作者：
Popescu, Liviu [1 ]
Criveanu, Radu [1 ]
机构：
[1] Univ Craiova, Fac Econ, Dept Math & Stat, Craiova 200585, Romania
来源：
CARPATHIAN JOURNAL OF MATHEMATICS | 2011年 / 27卷 / 02期
关键词：
Dynamical covariant derivative; metric nonlinear connection; INVERSE PROBLEM; HELMHOLTZ CONDITIONS; SYSTEMS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper we continue the investigation of nonlinear connections started in [16]. The problem of metrizability of the nonlinear connection on the cotangent bundle is studied. Using the dynamical covariant derivative induced by a regular vector field, we find the coefficients of a metric nonlinear connection. For the particular case of a Hamiltonian space we prove that the canonical nonlinear connection is a unique metric and symmetric nonlinear connection.
引用
收藏
页码：261 / 268
页数：8
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