Skip to main content

Timeline for Torsion tensor: definition

Current License: CC BY-SA 3.0

4 events
when toggle format what by license comment
Jul 11, 2017 at 11:33 history edited peterh CC BY-SA 3.0
edited body
Jul 11, 2017 at 8:47 comment added raskolnikov Can be a correct solution? O it's wrong?
Jul 11, 2017 at 8:46 comment added raskolnikov Ok, but if I want to use my convention $\nabla_b e_c = \Gamma^a_{cb}$ and to be self consistent with the definition of $\mathbf{T}$ with covariant derivative what I have to do? Because if I leave the definition as it is written in the question I have two different expression of the torsion tensor. May I have to put a minus in front of the definition of $\mathbf{T}$? (Indeed, I have to define the torsion tensor with the opposite sign convention $\mathbf{T}(\mathbf{X},\mathbf{Y})=-\left(\nabla_{\mathbf{X}}\mathbf{Y}-\nabla_{\mathbf{Y}}\mathbf{X} -\left[\mathbf{X},\mathbf{Y}\right]\right)$)
Jul 11, 2017 at 6:13 history answered magma CC BY-SA 3.0