Institution

Virginia Commonwealth University

Abstract

In this paper, symmetries of the canonical geodesic equations of indecomposable nilpotent Lie groups of dimension five are constructed. For each case, the associated system of geodesics is provided. In addition, a basis for the associated Lie algebra of symmetries as well as the corresponding non-zero Lie brackets are listed and classified. This is a joint work with Ryad Ghanam and Gerard Thompson.

Comments

Keywords: Lie symmetry; Lie group; canonical connection; geodesic equation

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Symmetries of the Canonical Geodesic Equations of Five-Dimensional Nilpotent Lie Algebras

In this paper, symmetries of the canonical geodesic equations of indecomposable nilpotent Lie groups of dimension five are constructed. For each case, the associated system of geodesics is provided. In addition, a basis for the associated Lie algebra of symmetries as well as the corresponding non-zero Lie brackets are listed and classified. This is a joint work with Ryad Ghanam and Gerard Thompson.