Author(s)

Yasmina Khellaf, Naceurdine Bensalem

Department of Mathematics, Institute of Sciences, Setif, Algeria.

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.

Christoffel; Metric; Heisenberg; Geodesic; Levi-Civita

Y. Khellaf and N. Bensalem, "An Implementation Method for the Geodesics with Constraints on Heisenberg Manifolds," Applied Mathematics, Vol. 3 No. 10A, 2012, pp. 1496-1504. doi: 10.4236/am.2012.330209.