Some Affine Properties of the $k$-symplectic manifolds

Abstract: We study some affine properties of the $k$-symplectic manifolds and also the complete locally affine $k$-symplectic manifolds; a familly of these spaces is given in the compact $3$-dimensional case.

Keywords: Lagrangian foliations, $k$-symplectic structure, locally affine manifolds.

Classification (MSC91): 58F05, 53C15

Full text of the article:

• Compressed DVI file (17810 Bytes)
• Compressed Postscript file (75654 Bytes)