Oleg Zubelevich
A Note on Affine Connection in $\mathbb{R}^m$
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ABSTRACT.  In this paper we consider the space $\mathbb{R}^m$ with a symmetric affine connection. 
We investigate the sufficient conditions which imply the existence of Euclidian coordinates in the whole space $\mathbb{R}^m$. In these coordinates all the Christoffel symbols are equal to zero identically.