Computing Christoffel Symbols for Parameterized Surface

[tuggler]

Homework Statement

I am learning Christoffel symbols and I want to know how to compute a surface parameterized by $g(u,v) = (u\cos v, u \sin v, u)$ by using the definition.

Homework Equations

Christoffel symbols

The Attempt at a Solution

Is this website http://www.math.uga.edu/~clayton/courses/660/660_4.pdf

on page 3 the same example as mine because I noticed the u and v are switched? Should I use that example as a reference or is it exactly like my question?

 

[Dick]

Homework Statement

I am learning Christoffel symbols and I want to know how to compute a surface parameterized by $g(u,v) = (u\cos v, u \sin v, u)$ by using the definition.

Homework Equations

Christoffel symbols

The Attempt at a Solution

Is this website http://www.math.uga.edu/~clayton/courses/660/660_4.pdf

on page 3 the same example as mine because I noticed the u and v are switched? Should I use that example as a reference or is it exactly like my question?

I think you should try and work it out on your own. But yes, that's essentially the same problem as yours. How much it's going to look like your solution depends on how you defined the Christoffel symbols. I'm not used to the definition in terms of the first fundamental form, so I find the middle part pretty confusing.

 

[tuggler]

Thank you! The first fundamental form I can do. Thanks !