Extension of the interior connection of a nonholonomic manifold with a Finsler metric

Details Extension of the interior connection of a nonholonomic manifold with a Finsler metric Extension of the interior connection of a nonholonomic manifold with a Finsler metric

2011-03-22

arxiv.org/abs/1103.4337v1

Mathematics

Differential Geometry

9 pages

Scientific paper

The notions of the interior and truncated connections of a nonholonomic manifold are introduced. A class of extended truncated connections is distinguished. For the case of a contact space with a Finsler metric, it is shown that there exists a unique extended truncated connection that satisfies additional properties. The curvature tensor of the obtained connection in the case of a sub-Riemannian space coincides with the Wagner curvature tensor that was constructed by Wagner for the case of an arbitrary nonholonomic manifold of codimension one endowed with an interior affine connection.

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