On Preservation of the Order of Flattening by an Induced Diffeomorphism
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We consider the structure of a smooth curve from the viewpoint of the concept of flattening and establish conditions under which an r-geodesic curve of the base manifold is the projection of the r-geodesic curve in a tangent bundle of the second order. The necessary and sufficient condition under which a 2-geodesic diffeomorphism of affine-connected spaces induces a 2-geodesic diffeomorphism of tangent bundles of the second order is established.
KeywordsBoundary Point Tangent Bundle Parametric Equation Geodesic Curve Base Manifold
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