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An invitation to singular symplectic geometry

Author
Miranda, E.; Delshams, A.; Dempsey, R.; Oms, C.; Planas, A.
Type of activity
Journal article
Journal
International journal of geometric methods in modern physics
Date of publication
2019
Volume
16
Number
supp.01
First page
1940008
DOI
https://doi.org/10.1142/S0219887819400085 Open in new window
Project funding
Dynamics associated to connections between invariant objects with applications to neuroscience and astrodynamics
Geometry and topology of varieties, algebra and applications
Repository
http://hdl.handle.net/2117/116546 Open in new window
URL
https://www.worldscientific.com/doi/10.1142/S0219887819400073 Open in new window
Abstract
In this paper we analyze in detail a collection of motivating examples to consider bm-symplectic forms and folded-type symplectic structures. In particular, we provide models in Celestial Mechanics for every bm-symplectic structure. At the end of the paper, we introduce the odd-dimensional analogue to b-symplectic manifolds: b-contact manifolds.
Citation
Miranda, E., Delshams, A., Dempsey, R., Oms, C., Planas, A. An invitation to singular symplectic geometry. "International journal of geometric methods in modern physics", vol.16. supp.01, 2019. Art. 1940008
Keywords
Celestial Mechanics, Poisson geometry, Symplectic Geometry, b-symplectic structures
Group of research
GEOMVAP - Geometry of Manifolds and Applications
SD - UPC Dynamical Systems

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