Coordinates in Riemannian Geometry

[KalyanK]

Hi,

I was wondering if Geodesic polar coordinates, Geodesic shperical coordinates and Riemann Normal coordinates are the same. Also, are there any standard techniques for computing these coordinates for a manifold given in terms of level set of a function. Are there any good references that deal with these topics? Thanks.

Kalyan

 

[gvk]

Yes, they are the same.
The good source is, probably, W. Klingenberg, "Riemannian geometry".