An Implementation Method for the Geodesics with Constraints on Heisenberg Manifolds

• 作者: Naceurdine Bensalem Yasmina Khellaf
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Christoffel METRIC HEISENBERG GEODESIC Levi-Civita
• 年，卷（期）: 2012,（10）
• 页码范围: 1496-1504
• 页数: 9页
• 分类号: O1

摘要

In this paper we address the implementation issue of the geodesics method with constraints on Heisenberg manifolds. First we present more details on the method in order to facilitate its implementation and second we consider Mathema-tica as a software tool for the simulation. This implementation is of great importance since it allows easy and direct determination of Ricci tensor, which plays a fundamental role in the Heisenberg manifold metric.