(Super-)integrable systems associated to 2-dimensional projective connections with one projective symmetry-Reference-Cited by-同舟云学术

(Super-)integrable systems associated to 2-dimensional projective connections with one projective symmetry

Published:2019-11 Issue: Volume:145 Page:103476
ISSN:0393-0440
Container-title:Journal of Geometry and Physics
language:en
Short-container-title:Journal of Geometry and Physics

Author:

Manno Gianni,Vollmer Andreas

Funder

Istituto Nazionale di Alta Matematica (INdAM), Italy

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference59 articles.

1. Projective geometry of systems of second-order differential equations;Aminova;Mat. Sb.,2006

2. Risoluzione del problema: riportare i punti di una superficie sopra un piano in modo che le linee geodetiche vengano rappresentante da linee rette;Beltrami;Ann. Mat.,1865

3. Inertia tensors and Stäckel systems in Euclidean spaces;Benenti;Rendiconti del Seminario Matematico,1992

4. Special symmetric two-tensors, equivalent dynamical systems, cofactor and bi-cofactor systems;Benenti;Acta Appl. Math.,2005

5. Algebraic construction of the quadratic first integrals for a special class of orthogonal separable systems;Benenti,2008

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