Abstract
The cohomology of various sheaves associated with a Lagrangian foliation is discussed. Obstructions for the foliation either to behave like in the case of a cotangent bundle or to have an affine transversal distribution are found in this cohomology. Furthermore, one proves a formula for all the symplectic structures of a cotangent bundle such that the fibers constitute a Lagrangian foliation.
Original language | English |
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Pages (from-to) | 221-244 |
Number of pages | 24 |
Journal | Monatshefte fur Mathematik |
Volume | 106 |
Issue number | 3 |
DOIs | |
State | Published - Sep 1988 |
ASJC Scopus subject areas
- General Mathematics