Publication details
PROLONGATION OF SYMMETRIC KILLING TENSORS AND COMMUTING SYMMETRIES OF THE LAPLACE OPERATOR
| Authors | |
|---|---|
| Year of publication | 2017 |
| Type | Article in Periodical |
| Magazine / Source | Rocky Mountain Journal of Mathematics |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1216/RMJ-2017-47-2-587 |
| Keywords | Killing tensors; prolongation of PDEs; commuting symmetries of Laplace operator |
| Description | 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. |
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