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1. ### I Geodesics on a sphere and the Christoffel symbols

What you have to do is selecting a parametrization with respect to the arc length (s).

5. ### Types of rotations

Thank you for your replies! My question now is related to the previous one, but has changed. Suppossing that we have the following situation: According to the picture, we have a vector in an orthogonal frame (with coordinates 2, 2). I want to obtain the contravariant (green) and covariant...
6. ### Types of rotations

First of all, thanks for your answer, I really appreciate your quick response. So, if I have understood well, the first thing I have to do is to represent a vector and relate its components in both coordinate systems using trigonometry: But, what should I do now? I'm a little confused...
7. ### Types of rotations

Hi everybody, This is my first post, so I apologise for all the possible mistakes that I can make now and in the future. I promise that I'll learn from them! My question is the following: It's well-known the relationship between two pair of cartesian axes when a circular rotation is made...