On geometric properties of joint invariants of Killing tensors

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dc.creatorAdlam, Caroline M.
dc.creatorMcLenaghan, Raymond G.
dc.creatorSmirnov, Roman G.
dc.date2006-12-19
dc.date.accessioned2026-07-07T07:36:01Z
dc.date.available2026-07-07T07:36:01Z
dc.descriptionWe employ the language of Cartan's geometry to present a model for studying vector spaces of Killing two-tensors defined in pseudo-Riemannian spaces of constant curvature under the action of the corresponding isometry group. We also discuss geometric properties of joint invariants of Killing two-tensors defined in the Euclidean plane to formulate and prove an analogue of the Weyl theorem on joint invariants. In addition, it is shown how the joint invariants manifest themselves in the theory of superintegrable Hamiltonian systems.
dc.descriptionTo appear in the proceedings of the IMA Summer Program ``Symmetries of Overdetermined Systems of PDEs''
dc.identifierhttps://arxiv.org/abs/math/0612534
dc.identifierhttp://arxiv.org/abs/math/0612534
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120289
dc.subjectDifferential Geometry
dc.subject53A55, 70H06
dc.titleOn geometric properties of joint invariants of Killing tensors
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