Abstract
The symplectic forms which have a compatible tangent structure locally look like the symplectic form of a nondegenerate Lagrangian function. For this reason, the corresponding manifold is said to be locally Lagrange-symplectic. In the paper, we give some elementary properties of these manifolds, and discuss their symplectic reduction.
Original language | English |
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Pages (from-to) | 79-89 |
Number of pages | 11 |
Journal | Geometriae Dedicata |
Volume | 74 |
Issue number | 1 |
DOIs | |
State | Published - 1999 |
Keywords
- Almost tangent structure
- Locally lagrange-symplectic manifolds
ASJC Scopus subject areas
- Geometry and Topology