Geodesic equation proof confusing me

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SUMMARY

The discussion centers on the confusion surrounding the definition of the variable "u" in the context of the geodesic equation proof. Specifically, the user seeks clarification on the notation where "u^m" is defined as "dx^m/dτ". This notation is crucial for understanding the derivation of geodesics in differential geometry. The conversation highlights the importance of grasping the underlying definitions to fully comprehend the proof.

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  • Understanding of differential geometry concepts
  • Familiarity with the geodesic equation
  • Knowledge of the notation for derivatives in mathematical physics
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This discussion is beneficial for students and researchers in mathematics and physics, particularly those focusing on general relativity and differential geometry. It is also useful for anyone looking to deepen their understanding of geodesics and their mathematical representations.

Superposed_Cat
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Hi all, I was looking through this proof and have no idea where the "u" comes from., any help apreciated.
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where
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Last edited:
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It looks like they have defined ##u^m\equiv \frac{dx^m}{d\tau}##
 
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