Abstract
We understand the symplectic geometry on manifolds not just as the geometry of the symplectic manifolds but as the study of various geometric structures on manifolds where a symplectic vector bundle plays an essential role. In the present chapter, we shall discuss about such structures. Of course, symplectic manifolds are the core of this theory. We shall also discuss the Lagrangian subbundles naturally related with the considered structures.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer Science+Business Media New York
About this chapter
Cite this chapter
Vaisman, I. (1987). Symplectic Geometry on Manifolds. In: Symplectic Geometry and Secondary Characteristic Classes. Progress in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1960-4_3
Download citation
DOI: https://doi.org/10.1007/978-1-4757-1960-4_3
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4757-1962-8
Online ISBN: 978-1-4757-1960-4
eBook Packages: Springer Book Archive