Equivalence problem for the orthogonal webs on the 3-sphere

DOI10.1063/1.3578773zbMath1317.35011arXiv1009.4244OpenAlexW3102729739WikidataQ125701141 ScholiaQ125701141MaRDI QIDQ5266011

Caroline M. Cochran, Roman G. Smirnov, Raymond G. Mclenaghan

Publication date: 29 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.4244

Mathematics Subject Classification ID

Vector and tensor algebra, theory of invariants (15A72) Hamilton's equations (70H05) Hamilton-Jacobi equations in mechanics (70H20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Canonical forms, reductions, classification (15A21) Hamilton-Jacobi equations (35F21)

Related Items (6)

Classification of the orthogonal separable webs for the Hamilton-Jacobi and Klein-Gordon equations on 3-dimensional Minkowski space ⋮ Equivalence problem for the orthogonal separable webs in 3-dimensional hyperbolic space ⋮ Block-separation of variables: a form of partial separation for natural Hamiltonians ⋮ Algebraic integrability conditions for Killing tensors on constant sectional curvature manifolds ⋮ Classification of the orthogonal separable webs for the Hamilton-Jacobi and Laplace-Beltrami equations on 3-dimensional hyperbolic and de Sitter spaces ⋮ Orthogonal separation of the Hamilton-Jacobi equation on spaces of constant curvature

Cites Work

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• Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space
• On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
• Moving coframes. II: Regularization and theoretical foundations
• Moving coframes. I: A practical algorithm
• Killing tensors as irreducible representations of the general linear group
• On the theory of algebraic invariants of vector spaces of Killing tensors
• Covariants, joint invariants and the problem of equivalence in the invariant theory of Killing tensors defined in pseudo-Riemannian spaces of constant curvature
• Orthogonal separation of variables for the Hamilton-Jacobi and wave equations in three-dimensional Minkowski space
• Hamilton–Jacobi theory in three-dimensional Minkowski space via Cartan geometry
• The Group $O(4)$, Separation of Variables and the Hydrogen Atom
• Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation
• Group invariant classification of separable Hamiltonian systems in the Euclidean plane and the O(4)-symmetric Yang–Mills theories of Yatsun
• An extension of the classical theory of algebraic invariants to pseudo-Riemannian geometry and Hamiltonian mechanics
• What an Effective Criterion of Separability says about the Calogero Type Systems

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