Back to Search
Start Over
Symplectic structures on the tangent bundle of a smooth manifold
- Publication Year :
- 2013
-
Abstract
- We give a method to lift $(2,0)$-tensors fields on a manifold $M$ to build symplectic forms on $TM$. Conversely, we show that any symplectic form $\Om$ on $TM$ is symplectomorphic, in a neighborhood of the zero section, to a symplectic form built naturally from three $(2,0)$-tensor fields associated to $\Om$.<br />Comment: Submitted to C.R.A.S
- Subjects :
- Mathematics - Symplectic Geometry
Mathematics - Differential Geometry
53D02
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1302.5886
- Document Type :
- Working Paper