Abstract
We study new geometrical and topological aspects of polarized k-symplectic manifolds. In addition, we study the De Rham cohomology groups of the k-symplectic group. In this work, we pay particular attention to the problem of the orientation of polarized k-symplectic manifolds in a way analogous to symplectic manifolds which are all orientable.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference7 articles.
1. Lectures on Geometric Quantization;Simms,1976
2. Structure des Systemes Dynamiques;Souriau,1970
3. k‐symplectic structures
4. Generalized Hamiltonian Dynamics
5. Pfaffian Systems, k-Symplectic Systems;Awane,2000