Canonical Deformed Groups of Diffeomorphisms and Finite Parallel Transports in Riemannian Spaces

Details Canonical Deformed Groups of Diffeomorphisms and Finite Parallel Transports in Riemannian Spaces Canonical Deformed Groups of Diffeomorphisms and Finite Parallel Transports in Riemannian Spaces

2007-04-23

arxiv.org/abs/0704.2980v2

Mathematical modeling, v.16 (2007), 22-27 (Ukr)

Mathematics

Differential Geometry

12 pages

Scientific paper

We show that finite parallel transports of vectors in Riemannian spaces,
determined by the multiplication law in the deformed groups of diffeomorphisms,
and sequences of infinitesimal parallel transports of vectors along geodesics
are equivalent.

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