The Group of Parallel Transports in the Riemannian Space

Details The Group of Parallel Transports in the Riemannian Space The Group of Parallel Transports in the Riemannian Space

2006-04-29

arxiv.org/abs/math/0605006v1

Mathematics

Differential Geometry

Scientific paper

We show that there is an infinite group of special automorphisms of the
deformed group of diffeomorphisms, which describes parallel transports in
Riemannian spaces of any variable curvature. Generators of translations of such
group contain covariant derivatives, and structure functions - the curvature
tensor.

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