This is essentially a "homework question", but I'm not looking for an explicit solution so I have posted it here.(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

Find a simplified expression for the Riemann tensor in terms of the connection in normal coordinates.

2. Relevant equations

Riemann tensor = (derivative of connection term) - (derivative of connection term) - (connection term)(connection term) - (connection term)(connection term)

3. The attempt at a solution

My solution is

Riemann tensor = (derivative of connection term) - (derivative of connection term)

, where I have used the fact that the connections evaluated at point P are all 0, but their derivatives are not necessarily 0.

My problem is that 3 MARKS are allocated to this question (from a possible 60 marks in a 2 hour paper), and that this looks far too simple a solution for 3 marks.

What am I missing?

Trev

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Riemann tensor in normal coordinates

Loading...

Similar Threads - Riemann tensor normal | Date |
---|---|

I Number of independent components of the Riemann tensor | Mar 27, 2017 |

I Riemann tensor in 3d Cartesian coordinates | Feb 10, 2017 |

A Contraction between Levi-Civita symbol and Riemann tensor | Dec 22, 2016 |

I How does parallel transportation relates to Rieman Manifold? | Oct 9, 2016 |

**Physics Forums - The Fusion of Science and Community**