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Symmetry, Integrability and Geometry: Methods and Applications, 2021, Volume 17, 015, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2021.015 (Mi sigma1698) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Stäckel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics

Andreas Vollmerab

a Dipartimento di Scienze Matematiche (DISMA), Politecnico di Torino, Corso Duca degli Abruzzi, 24, 10129 Torino, Italy
b Institute of Geometry and Topology, University of Stuttgart, 70550 Stuttgart, Germany
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DOI: https://doi.org/10.3842/SIGMA.2021.015
Abstract: A non-degenerate second-order maximally conformally superintegrable system in dimension 2 naturally gives rise to a quadric with position dependent coefficients. It is shown how the system's Stäckel class can be obtained from this associated quadric. The Stäckel class of a second-order maximally conformally superintegrable system is its equivalence class under Stäckel transformations, i.e., under coupling-constant metamorphosis.
Keywords: Stäckel equivalence, quadrics, superintegrable systems.
Funding agency Grant number
Deutsche Forschungsgemeinschaft 353063958
This paper was principally written when the author was a fellow of the German Research Foundation – Deutsche Forschungsgemeinschaft (DFG): Andreas Vollmer acknowledges funding from a DFG research fellowship with the project number 353063958 as well as through a subsequent return fellowship.
Received: October 9, 2020; in final form February 2, 2021
Bibliographic databases:
Document Type: Article
MSC: 14H70, 70H06, 30F45
Language: English
Citation: Andreas Vollmer, “Stäckel Equivalence of Non-Degenerate Superintegrable Systems, and Invariant Quadrics”, SIGMA, 17 (2021), 015, 13 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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