Dear All,(adsbygoogle = window.adsbygoogle || []).push({});

I am teaching myself tensors for the first time. I am using D'Inverno's book and got stuck at page 73. Basically, he says: demand that the first term on the left of the equation to be a type (1,1) tensor. Then he gets the affine connection transformation.

I basically wrote the first term as a second rank mixed tensor transformation. Then I got stuck. I am not sure on how to isolate (?) the affine connection and show how it transforms. I tried many times but failed due to my lack of knowledge of tensors. Could someone help me understand this please?

[itex]\nabla_{c}X^{a}[/itex]= [itex]\partial_{c}[/itex][itex]X^{a}[/itex]+[itex]\Gamma_{bc}^{a}[/itex][itex]X^{b}[/itex]

Thanks in advance! (Sorry if my post isn't very informative as I have to go for 6 hours. When I come back I will be more than happy to upload pictures of my attempts)

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

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!

# Affine connection transformation

**Physics Forums | Science Articles, Homework Help, Discussion**