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

Riemann curvature tensor and nonlinear operator

  1. Jun 30, 2009 #1

    I hope my questions make sense at all:

    Is it possible to define a nonlinear Operator such that letting this Operator act on the Christoffel symbols yields the Riemann curvature tensor (so terms proportional to the derivatives of the Christoffel symbols would have to appear, as well as terms quadratic in the Christoffel symbols)? And, if it is possible to define such an operator, is there any way to test wether it is self-adjoint or not? Any hints appreciated!

    If this has been postet in the wrong section (rather mathematical question), feel free to move it.

  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