Article citationsMore>>

R. Beals, B. Gaveau and P. C. Greiner, “Hamilton-Jacobi Theory and the Heat Kernel on Heisenberg Groups,” journal of mathéMatiques Pures et Appliquées, Vol. 79, No. 7, 2000, pp. 633-689. doi:10.1016/S0021-7824(00)00169-0

has been cited by the following article:

• TITLE: An Implementation Method for the Geodesics with Constraints on Heisenberg Manifolds

  AUTHORS: Yasmina Khellaf, Naceurdine Bensalem

  KEYWORDS: Christoffel; Metric; Heisenberg; Geodesic; Levi-Civita

  JOURNAL NAME: Applied Mathematics, Vol.3 No.10A, November 1, 2012

  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.