An invitation to singular symplectic geometry

In this paper, we analyze in detail a collection of motivating examples to consider b m -symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every b m -symplectic structure. At the end of the paper, we introduce the odd-dimensional anal...

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Veröffentlicht in:	International journal of geometric methods in modern physics 2019-02, Vol.16 (supp01), p.1940008
Hauptverfasser:	Braddell, Roisin, Delshams, Amadeu, Miranda, Eva, Oms, Cédric, Planas, Arnau
Format:	Artikel
Sprache:	eng
Schlagworte:	b-symplectic structures Celestial mechanics Geometria Geometria diferencial Geometry, Differencial Manifolds (mathematics) Matemàtiques i estadística Mecànica celest Poisson geometry Symplectic Geometry Àrees temàtiques de la UPC
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Zusammenfassung:	In this paper, we analyze in detail a collection of motivating examples to consider b m -symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every b m -symplectic structure. At the end of the paper, we introduce the odd-dimensional analogue to b -symplectic manifolds: b -contact manifolds.
ISSN:	0219-8878 1793-6977
DOI:	10.1142/S0219887819400085