Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 12 (2016), 013, 21 pages      arXiv:1512.07833      https://doi.org/10.3842/SIGMA.2016.013
Contribution to the Special Issue on Analytical Mechanics and Differential Geometry in honour of Sergio Benenti

Separability in Riemannian Manifolds

Sergio Benenti
Dipartimento di Matematica, Università di Torino, via Carlo Alberto 10, 10123 Torino, Italy

Received December 27, 2015, in final form January 19, 2016; Published online February 01, 2016

Abstract
An outline of the basic Riemannian structures underlying the separation of variables in the Hamilton-Jacobi equation of natural Hamiltonian systems.

Key words: Riemannian geometry; Hamilton-Jacobi equation; separation of variables.

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