in tex2html_wrap110 use the vector tex2html_wrap111 where t is euclidean time. The metric is tex2html_wrap112 .

In spherical coordinates, this is tex2html_wrap113 tex2html_wrap114

set the vielbeins tex2html_wrap115 , tex2html_wrap116 with tex2html_wrap117

then tex2html_wrap118

To get the spin connections, use:


tex2html_wrap120 , tex2html_wrap121 .

From this, you can check that tex2html_wrap122

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