Say you have a scalar ##S=A^{\alpha}_{\beta}B^{\beta}_{\alpha}## . Since this just means to sum over ##{\alpha}## and ##{\beta}## , is it allowable to rewrite it as ##S=A^{\alpha}_{\alpha}B^{\beta}_{\beta}## . I don't see anything wrong with this, I simply rewrote the dummy indices, but since I am not by far an expert I would like some confirmation.(adsbygoogle = window.adsbygoogle || []).push({});

**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!

# Is This Contraction of a Tensor Allowed?

Loading...

Similar Threads - Contraction Tensor Allowed | Date |
---|---|

Can contraction of a tensor be defined without using coordinates? | Aug 31, 2013 |

Contraction of Tensors | Jul 18, 2013 |

Contracting tensors | Mar 19, 2013 |

Contraction of a tensor | Oct 7, 2007 |

Understanding tensor contraction | Jul 15, 2007 |

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