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Heisenberg model in pseudo-Euclidean spaces II

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arxiv 1808.10783 v1 pith:USAQAUEJ submitted 2018-08-31 nlin.SI math.SG

Bozidar Jovanovic , Vladimir Jovanovic This is my paper · ORCID
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In the review we describe a relation between the Heisenberg spin chain model on pseudospheres and light--like cones in pseudo--Eucli\-dean spaces and virtual billiards. A geometrical interpretation of the integrals associated to a family of confocal quadrics is given, analogous to Moser's geometrical interpretation of the integrals of the Neumann system on the sphere.

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  1. Contact line bundles, foliations, and integrability

    math.SG 2025-02 conditional novelty 6.0 of 10

    A line-bundle approach to contact integrability unifies cooriented and non-cooriented systems and covers dissipative contact Hamiltonians.

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