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## Summary:

- Physical intuition and conditions of parallel transport

## Main Question or Discussion Point

I am currently reading Foster and Nightingale and when it comes to the concept of parallel transport, the authors don't go very deep in explaining it except just stating that if a vector is subject to parallel transport along a parameterized curve, there is no change in its length or direction and hence its derivative with respect to the parameter is equal to zero.

Later, there is an example of a vector being parallelly transported on a latitude of a sphere and its final direction is different from the initial direction at the same point! Then how can we say that it was parallelly transported?

I am unable to get the concept of parallel transport.

Later, there is an example of a vector being parallelly transported on a latitude of a sphere and its final direction is different from the initial direction at the same point! Then how can we say that it was parallelly transported?

I am unable to get the concept of parallel transport.