Nonlinear symmetries on spaces admitting Killing tensors

DOI10.1016/j.cnsns.2009.05.003zbMath1221.53108OpenAlexW2043081955WikidataQ125862125 ScholiaQ125862125MaRDI QIDQ718169

Mihai Visinescu

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.05.003

zbMATH Keywords

Dirac operatorsKilling tensorsnonlinear symmetries

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Exact solutions to problems in general relativity and gravitational theory (83C15)

Cites Work

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• Conformal Killing-Yano tensors on manifolds with mixed 3-structures
• Contact manifolds in Riemannian geometry
• Particle spin dynamics as the Grassmann variant of classical mechanics
• Separable dynamical systems: Characterization of separability structures on Riemannian manifolds
• On extended Taub-NUT metrics
• Conformal Killing forms on Riemannian manifolds
• Duality and the signature of space-time
• The hidden symmetries of multi-centre metrics
• SUSY in the sky.
• Real lightlike hypersurfaces of paraquaternionic Kähler manifolds
• Killing forms on symmetric spaces
• Some remarks on tensor fields and curvature
• Superalgebra of Dirac‐type operators of the Euclidean Taub‐NUT space
• Higher-dimensional black holes: hidden symmetries and separation of variables
• Spectral asymmetry and Riemannian Geometry. I
• Two classes of dynamical systems all of whose bounded trajectories are closed
• Quantum mechanics of Yano tensors: Dirac equation in curved spacetime
• Generalized Taub-NUT metrics and Killing-Yano tensors
• Two kinds of generalized Taub-NUT metrics and the symmetry of associated dynamical systems
• On the existence of the second Dirac operator in Riemannian space
• Non-standard supersymmetries on spaces admitting Killing–Yano tensors
• Infinite loop superalgebras of the Dirac theory on the Euclidean Taub–NUT space
• SOME CONSTRUCTIONS OF ALMOST PARA-HYPERHERMITIAN STRUCTURES ON MANIFOLDS AND TANGENT BUNDLES
• Quantum anomalies for generalized Euclidean Taub–NUT metrics
• Empty-Space Generalization of the Schwarzschild Metric
• Empty space-times admitting a three parameter group of motions
• Runge-Lenz operator for Dirac field in Taub-NUT background
• Riemannian geometry and geometric analysis

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