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Frenet formulas and geodesics in Sol geometry. (English) Zbl 1167.53021

The authors compute the curvature and torsion of parametrized geodesics in a \(3\)-manifold equipped with a Riemannian metric of Sol-type.

MSC:

53B20 Local Riemannian geometry
53C22 Geodesics in global differential geometry
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