An Invitation to Singular Symplectic Geometry

Autor: Braddell, Roisin, Delshams, Amadeu, Miranda, Eva, Oms, Cédric, Planas, Arnau
Rok vydání: 2017
Předmět:
Zdroj: Int. J. Geom. Methods Mod. Phys. 16 (2019), suppl. 1, 1940008, 16 pp
Druh dokumentu: Working Paper
Popis: 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.
Comment: 14 pages, 1 figure
Databáze: arXiv