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What is torsion in differential geometry intuitively?

Perhaps, the following two facts help to understand torsion: 1. Two connections are equal if and only if they have the same geodesics and equal torsions. 2. … For any connection there is a unique torsion-free connection with the same geodesics. This is proved in Spivak, volume II, page 249. …
Igor Belegradek's user avatar