The affine connection in the normal coordinates

Research paper by A. V. Gavrilov

Indexed on: 27 Feb '13Published on: 27 Feb '13Published in: Siberian Advances in Mathematics


We propose a method to calculate the derivatives of the Christoffel symbols in the normal coordinates on a smooth manifold with symmetric affine connection. As an application, we construct an algorithm for computing the Taylor series of the double exponential map.