First order deviation equations in spaces with a transport along paths

Details First order deviation equations in spaces with a transport along paths First order deviation equations in spaces with a transport along paths

2003-03-15

arxiv.org/abs/math-ph/0303038v1

Communication JINR, E5-94-189, Dubna, 1994

Physics

Mathematical Physics

12 LaTeX pages. For related papers, visit the "publication" pages at http://theo.inrne.bas.bg/~bozho/

Scientific paper

In a coordinate free form are found the (deviation) equations satisfied by the (infinitesimal) deviation vector, relative velocity, relative momentum, relative acceleration and relative energy of two point particles in a differentiable manifold the tangent bundle of which is endowed with a linear transport along paths, a linear connection and, in the last case, also with a metric. Some approximate relations between these quantities are obtained.

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