On the self-adjointness of certain reduced Laplace-Beltrami operators

DOI10.1016/S0034-4877(08)00012-8zbMath1167.58012arXiv0707.2708OpenAlexW3100135063MaRDI QIDQ1025365

Béla Gábor Pusztai, László Fehér

Publication date: 18 June 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2708

zbMATH Keywords

integrable systemsHamiltonian reductionself-adjointnesspolar action

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)

Related Items (1)

Hamiltonian reductions of free particles under polar actions of compact Lie groups

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• A class of Calogero type reductions of free motion on a simple Lie group
• Reduction of quantum systems on Riemannian manifolds with symmetry and application to molecular mechanics
• A General Theory of Canonical Forms

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