a spin connection satisfies:

tex2html_wrap125 where w is the spin connection.

tex2html_wrap126 .

tex2html_wrap127 tex2html_wrap128 .

This means tex2html_wrap129 .

You can define a new derivative:

tex2html_wrap130 tex2html_wrap131

The spin connections are not a tensor.




source
psfile jl@crush.caltech.edu index
Fucci-Hansen_metric
self-dual_manifold
Euclidean_space
frame_bundle