# Geodesic equation

1. Apr 23, 2012

### Euphemia

http://mykomica.org/boards/shieiuping/physics/src/1335180831965.jpg [Broken]
http://mykomica.org/boards/shieiuping/physics/src/1335180965708.jpg [Broken]

Last edited by a moderator: May 5, 2017
2. Apr 23, 2012

### Euphemia

The bigger words is the main description.
The smaller words is my own work,
I don't know if I get the wrong Christoffel connections or something else.

3. Apr 28, 2012

### lavinia

The Lie bracket of the two unit vector fields, (1 + z$\bar{z}$)$\partial$x

and (1 + z$\bar{z}$)$\partial$y

is orthogonal to (1 + z$\bar{z}$)$\partial$x
along the x axis and so is tangent to a geodesic.

Now use the symmetry of the metric to solve the general case.