Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Killing vector help

  1. Apr 9, 2008 #1
    noob here
    * indicates multiply (or 'operate on'), d_c is partial derivative w.r.t. c

    tensor indices have always troubled me, my problem this time is im trying to prove a vector E = (-y*d_x +x*d_y) is a killing vector after having computed the connection coefficients for 2-d riemannian manifold, diagonal metric from ds^2 = f(x,y)*(dx^2 + dy^2)

    Im looking at the Lie derivative statement of Killing's eqns,
    E^c*d_c*g_ab - g_ac*d_c*E^b - g^cb*d_c*E^a

    how do i do that explicitly, showing each term for x and y? how can there be terms involving a,b and c, when i only have x and y to work with?
    any links to examples of "show this is a killing vector" would be a great help.
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Threads - Killing vector help Date
I Killing's vectors Jun 29, 2017
A Question about Killing vector fields Jul 26, 2016
Some questions about isometry Oct 3, 2014
Why is there maximally 1/2 n(n+1) killing vectors? Sep 24, 2014
HELP with Killing Vectors in AdS May 26, 2013