Geodesics in the Engel Group with a Sub-Lorentzian Metric — the Space-Like Case

Abstract

Let E be the Engel group and D be a bracket generating left invariant distribution with a Lorentzian metric, which is a nondegenerate metric of index 1. In this paper, the author constructs a parametrization of a quasi-pendulum equation by Jacobi functions, and then gets the space-like Hamiltonian geodesics in the Engel group with a sub-Lorentzian metric.

Keywords

Sub-Lorentzian metric / Engel Group / Geodesics

References

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