Distorted Riemannian space and technique of differential geometry

Yuri A.Rylov

Institute for Problems in Mechanics, Russian Academy of Sciences,
101, bild.1 Vernadskii Ave., Moscow, 117526, Russia.
e-mail: rylov@ipmnet.ru


A differential-geometric technique of non-Riemannian space description is considered. This n-dimensional distorted Riemannian space distinguishes from a Riemannian one by a substitution of one-dimensional geodesics by  (n-1)-dimensional tubes. Such a space is of interest as a model of space-time, taking into account quantum effects.
English version of the paper in Postscript format.
Updated December 4, 2000