loop-transport, part 4
17 Feb 2026Can you show that covolume \(\sqrt{-\mathrm{det}g}\), even though it is not a scalar, would be invariant under transport in a loop, i.e. \([\nabla_\mu,\nabla_\nu] \sqrt{-\mathrm{det}g}\)?
Can you show that covolume \(\sqrt{-\mathrm{det}g}\), even though it is not a scalar, would be invariant under transport in a loop, i.e. \([\nabla_\mu,\nabla_\nu] \sqrt{-\mathrm{det}g}\)?