advanced_tools:parallel_transport

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advanced_tools:parallel_transport [2018/04/14 13:49] theodorekorovin [Intuitive] |
advanced_tools:parallel_transport [2018/04/14 13:51] (current) theodorekorovin ↷ Page moved from advanced_notions:parallel_transport to advanced_tools:parallel_transport |
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The important thing is now that if you do this and walk a closed curve, i.e. you end up where you started, the final position of the stick will not be the same as the initial position. This happens no matter how good you are in keeping the stick straight. | The important thing is now that if you do this and walk a closed curve, i.e. you end up where you started, the final position of the stick will not be the same as the initial position. This happens no matter how good you are in keeping the stick straight. | ||

- | {{ :theories:curvature.png?nolink&600 |}} | + | For example, consider two different paths around a ball as shown in the image below. |

+ | {{ :advanced_notions:curvature.png?nolink |}} | ||

+ | | ||

+ | If you follow the path on the left-hand side, where the position of the stick corresponds to the yellow arrows, the final position of the stick is not the initial position, since a ball is curved and not flat. | ||

advanced_tools/parallel_transport.1523706568.txt.gz · Last modified: 2018/04/14 11:49 (external edit)

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