Complex variables for separation of Hamilton-Jacobi equation on real<br/><br/>pseudo-Riemannian manifolds

Thursday, July 27, 2006 - 3:15pm - 4:00pm
EE/CS 3-180
Luca Degiovanni (Università di Torino)
The geometric theory of separation of variables is extended to
include the case of Killing tensor on real pseudo-Riemannian manifolds with
complex eigenvalues. The manifold is not complexified, it is just necessary
to introduce complex-valued functions. The classical results on separation
of variables (including Levi-Civita criterion and Stäckel-Eisenhart
theory) can then be reformulated in a very natural way.