Fibre Bundles Part 2

Question 03 / 30

Fibre Bundles Part 2

Problem
Problem 5.38 Let $M$ be a $C^{\infty} n$-manifold endowed with a torsionless linear connection. Prove that in a system of normal coordinates with origin $p$, all the Christoffel symbols at $p$ vanish.
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Source

PM. Gadea et al., Analysis and Algebra on Differentiable Manifolds,. Problem Books in Mathematics

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