Killing tensors with nonvanishing Haantjes torsion and integrable systems
type: Item
instance of: scholarly article
title: Killing tensors with nonvanishing Haantjes torsion and integrable systems
zbMATH Open document ID: 1353.70023
DOI: 10.1134/S156035471504005X
published in: Regular and Chaotic Dynamics
publication date: 2015-11-12T00:00:00Z
Mathematics Subject Classification ID: 70E40
Mathematics Subject Classification ID: 53A60
zbMATH DE Number: 6507836
zbMATH Keywords: Killing tensors
zbMATH Keywords: integrable systems
zbMATH Keywords: separation of variables
author: A. V. Tsiganov
MaRDI profile type: Publication
cites work: Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation
cites work: Q4312164
cites work: Geodesics and Killing tensors in mechanics
cites work: Q5481002
cites work: Relations between integrable systems in plane and curved spaces
cites work: Isomorphisms of geodesic flows on quadrics
cites work: Superintegrable generalizations of the Kepler and Hook problems
cites work: Algebraic identities for the Nijenhuis tensors
cites work: Hamilton-Jacobi and Schrödinger separable solutions of Einstein's equations
cites work: Conformal Killing tensors with vanishing torsion and the separation of variables in the Hamilton--Jacobi equation
cites work: Separation of variables for the generalized Henon–Heiles system and system with quartic potential
cites work: Differential-geometric approach to the integrability of hydrodynamic chains: the Haantjes tensor
cites work: Q3094042
cites work: Q3229840
cites work: Symmetries of the Dirac operator with skew-symmetric torsion
cites work: Killing Tensors and Variable Separation for Hamilton-Jacobi and Helmholtz Equations
cites work: Separation of variables on n-dimensional Riemannian manifolds. I. The n-sphere S n and Euclidean n-space R n
cites work: Q5345514
cites work: Stationary problems for equation of the KdV type and dynamical r-matrices
cites work: \(F\)-manifolds and integrable systems of hydrodynamic type.
cites work: Haantjes manifolds with symmetry
cites work: Q5803741
cites work: Q5551287
cites work: Quasi-point separation of variables for the Henon - Heiles system and a system with a quartic potential
cites work: Separation coordinates, moduli spaces and Stasheff polytopes
cites work: Q5777118
cites work: Haantjes structures for the Jacobi-Calogero model and the Benenti systems
cites work: The Stäckel systems and algebraic curves
cites work: Canonical transformations of the extended phase space, Toda lattices and the Stäckel family of integrable systems
cites work: The Maupertuis Principle and Canonical Transformations of the Extended Phase Space
cites work: On bi-Integrable Natural Hamiltonian Systems on Riemannian Manifolds
cites work: Simultaneous separation for the Neumann and Chaplygin systems
cites work: Necessary condition for the existence of algebraic first integrals
full work available at URL: s156035471504005x
OpenAlex ID: W1088758866
description: scientific article; zbMATH DE number 6507836