English

An Invitation to Singular Symplectic Geometry

Symplectic Geometry 2019-04-09 v1 Mathematical Physics Dynamical Systems math.MP

Abstract

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

Keywords

Cite

@article{arxiv.1705.03846,
  title  = {An Invitation to Singular Symplectic Geometry},
  author = {Roisin Braddell and Amadeu Delshams and Eva Miranda and Cédric Oms and Arnau Planas},
  journal= {arXiv preprint arXiv:1705.03846},
  year   = {2019}
}

Comments

14 pages, 1 figure

R2 v1 2026-06-22T19:43:15.862Z