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Ukrainian Mathematical Journal

, Volume 65, Issue 11, pp 1642–1660 | Cite as

On Preservation of the Order of Flattening by an Induced Diffeomorphism

  • K. M. Zubrilin
Article
  • 24 Downloads

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.

Keywords

Boundary Point Tangent Bundle Parametric Equation Geodesic Curve Base Manifold 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • K. M. Zubrilin
    • 1
  1. 1.Feodosiya Polytechnic Institute of the Admiral Makarov National University of ShipbuildingFeodosiyaUkraine

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