It may seem like a very simple question, but I just want to clarify something:(adsbygoogle = window.adsbygoogle || []).push({});

Is tensor field multiplication non-commutative in general?

For example, if I have two tensors [itex] A_{ij}, B_k^\ell [/itex] then in general, is it true that

[tex] A_{ij} B_k^\ell \neq B_k^\ell A_{ij} [/tex]

I remember them being non-commutative, but I want to make sure.

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

Join Physics Forums Today!

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

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

# Commutativity of Tensor Field Multiplication

Loading...

Similar Threads - Commutativity Tensor Field | Date |
---|---|

A Commutator of covariant derivative and D/ds on vector fields | Mar 15, 2018 |

Commutator of two covariant derivatives | Aug 9, 2015 |

D'Alembert operator is commute covariant derivative? | Jul 22, 2015 |

Bitensor covariant derivative commutation | Sep 23, 2012 |

Commutation of metric tensor | Feb 13, 2009 |

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