# Does definition of torsion depend upon the metric signature?

1. Apr 17, 2015

### binbagsss

I'm looking at 2 sources.

One has it defined as $T^{c}_{ab}=-\Gamma^{c}_{ab}+\Gamma^{c}_{ba}$
And the other has $T^{c}_{ab}=\Gamma^{c}_{ab}-\Gamma^{c}_{ba}$

$T$ the torsion tensor
and
$\Gamma^{c}_{ab}$ the connection.

Or is it more that different texts use different conventions?

Thanks.

Last edited: Apr 17, 2015
2. Apr 18, 2015

### robphy

What are those sources?
What are their definitions of Riemann and Ricci?