Geodesics and curvature of semidirect product groups

Details Geodesics and curvature of semidirect product groups Geodesics and curvature of semidirect product groups

2001-03-23

arxiv.org/abs/math/0103141v1

Mathematics

Differential Geometry

10 pages, Latex2e

Scientific paper

Geodesics and curvature of semidirect product groups with right invariant
metrics are determined. In the special case of an isometric semidirect product,
the curvature is shown to be the sum of the curvature of the two groups. A
series of examples, like the magnetic extension of a group, are then
considered.

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