18 citations · 18 across the 2 of their papers we have counts for
2 papers
math-ph2026
Pseudo-Riemannian Lie algebras with coisotropic ideals and integrating the Laplace-Beltrami equation on Lie groups
A. A. Magazev, I. V. Shirokov
We identify a class of left-invariant pseudo-Riemannian metrics on Lie groups for which the Laplace-Beltrami equation reduces to a first-order PDE and admits exact solutions. The d…
math-ph2011★ 18 cited
Integrable magnetic geodesic flows on Lie groups
Alexey A. Magazev, Igor V. Shirokov, Yuriy Y. Yurevich
Right-invariant geodesic flows on manifolds of Lie groups associated with 2-cocycles of corresponding Lie algebras are discussed. Algebra of integrals of motion for magnetic geodes…