An Implementation Method for the Geodesics with Constraints on Heisenberg Manifolds

Yasmina Khellaf; Naceurdine Bensalem

doi:10.4236/am.2012.330209

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Applied Mathematics > Vol.3 No.10A, October 2012

An Implementation Method for the Geodesics with Constraints on Heisenberg Manifolds ()

Yasmina Khellaf, Naceurdine Bensalem

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

DOI: 10.4236/am.2012.330209 PDF HTML 3,390 Downloads 5,552 Views

Abstract

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.

Keywords

Christoffel; Metric; Heisenberg; Geodesic; Levi-Civita

Share and Cite:

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.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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