Let M be a finite-dimensional manifold. Recall that on the manifold TM there is a vertical distribution V (a sub-bundle of the second tangent bundle TTM) whose fibers consist of vectors tangent to the fibers of TM. The vectors belonging to V are said to be vertical (see Section 2.1).


Mechanical System Covariant Derivative Orthonormal Frame Newtonian Mechanics Parallel Translation 
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© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Mathematics DepartmentVoronezh State UniversityVoronezhRussia

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