  The Euclidean method is usually discussed in the context of the metric
avoiding the typical delta of the conical singularity. We introduce a new way
to calculate the Hawking temperature using the vierbein and spin connection.
The conical singularity is seen globally through an effect on parallel
transport, the so called holonomy of the spin connection. The period of the
Euclidean time is calculated requiring that the holonomy of the spin connection
is trivial at the event horizon.
