Prolongation of symmetric Killing tensors and commuting symmetries of the Laplace operator

J. -P. Michel; P. Somberg; J. Šilhan

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arXiv · 1403.7226

Prolongation of symmetric Killing tensors and commuting symmetries of the Laplace operator

J. -P. Michel·P. Somberg·J. Šilhan

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Abstract

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.

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BibTeX RIS

J. -P. Michel, P. Somberg, J. Šilhan. 2014-03-27. Prolongation of symmetric Killing tensors and commuting symmetries of the Laplace operator. https://arxiv.org/abs/1403.7226

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