Hello, I wish to show that on 3-dimensional manifolds, the weyl tensor vanishes.(adsbygoogle = window.adsbygoogle || []).push({});

In other words, I want to show that the curvature tensor, the ricci tensor and curvature scalar hold the relation

Please, if anyone knows how I can prove this relation or refer to a place which proves the relation, I will be most grateful.

Thanks in advance

**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!

# Weyl tensor on 3-dimensional manifold

Loading...

Similar Threads - Weyl tensor dimensional | Date |
---|---|

A Can the Weyl tensor look like a negative mass? | Oct 19, 2017 |

A Weyl vacua solutions to GR | Jul 12, 2016 |

Einstein tensor as coarse-grained Weyl tensor | Aug 10, 2015 |

Weyl tensor for the Godel metric interpretation | Jul 21, 2015 |

Geometrical meaning of Weyl tensor | Sep 3, 2013 |

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