PROLONGATION OF SYMMETRIC KILLING TENSORS AND COMMUTING SYMMETRIES OF THE LAPLACE OPERATOR

• Autoři: MICHEL Jean-Philippe; SOMBERG Petr; ŠILHAN Josef
• Rok publikování: 2017
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Rocky Mountain Journal of Mathematics
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• Doi: http://dx.doi.org/10.1216/RMJ-2017-47-2-587
• Klíčová slova: Killing tensors; prolongation of PDEs; commuting symmetries of Laplace operator
• Popis: 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 Riemannian tractor calculus, allowing us to construct a prolongation of the differential system for symmetric Killing tensors. We also discuss some aspects of its relation to projective differential geometry.

Související projekty

• Ústav Eduarda Čecha pro algebru, geometrii a matematickou fyziku