Geodesics with constraints on Heisenberg manifolds

被引：0
|
作者：
Ovidiu Calin
Vittorio Mangione
机构：
[1] Eastern Michigan University,Mathematics Department
[2] Universitá degli Studi di Parma,undefined
来源：
Results in Mathematics | 2003年 / 44卷 / 1-2期
关键词：
Ricci; Riemann; curvature; geodesics; Levi-Civita connection; 37J60; 53B21; 70H03;
D O I：
10.1007/BF03322912
中图分类号：
学科分类号：
摘要：
We provide a qualitative description for the solutions of Euler-Lagrange equations associated to Lagrangians with linear and quadratic constraints. An important role is played by the natural metric induced by the Heisenberg manifold. In the second part we arrive at a formula which is the analog for the Gauss’ formula for the Heisenberg group.
引用
收藏
页码：44 / 53
页数：9
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