2014/03/27 by Jean-Philippe Michel, Michel, J. -P., Petr Somberg +3
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1403.7226
We determine the space of commuting symmetries of the Laplace operator on pseudo-Riemannian manifolds of constant curvature, and derive its algebra structure. Our construction is based on the Riemannian tractor calculus, allowing to construct a prolongation of the differential system for symmetric Killing tensors. We also discuss some aspects of its relation to projective differential geometry.