Details

Autor(en) / Beteiligte

• Degiovanni, Luca
• Rastelli, Giovanni

Titel

Complex variables for separation of the Hamilton-Jacobi equation on real pseudo-Riemannian manifolds

Ist Teil von

• Journal of mathematical physics, 2007-07, Vol.48 (7), p.073519-073519-23

Ort / Verlag

Melville, NY: American Institute of Physics

Erscheinungsjahr

2007

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper the geometric theory of separation of variables for the time-independent Hamilton-Jacobi equation is extended to include the case of complex eigenvalues of a Killing tensor on pseudo-Riemannian manifolds. This task is performed without complexifying the manifold but just by considering complex-valued functions on it. The simple formalism introduced in the paper allows us to extend in a very natural way the classical results on separation of variables (including Levi-Civita criterion and Stäckel-Eisenhart theory) to the complex case. Only orthogonal variables are considered.