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math-ph2018★ 12 cited
On rotationally invariant integrable and superintegrable classical systems in magnetic fields with non-subgroup type integrals
Sebastien Bertrand, Libor Šnobl
The aim of the present article is to construct quadratically integrable three dimensional systems in non-vanishing magnetic fields which possess so-called non-subgroup type integra…
math-ph2018
Structural equations of supermanifolds immersed in the superspace with a prescribed curvature
Sébastien Bertrand, A. Michel Grundland
The aim of this paper is to construct the structural equations of supermanifolds immersed in Euclidean, hyperbolic and spherical superspaces parametrised with two bosonic and two f…