Structure of locally conformally symplectic Lie algebras and solvmanifolds
Copyright policy )Structure of locally conformally symplectic Lie algebras and solvmanifolds
We obtain structure results for locally conformally symplectic Lie algebras. We classify locally conformally symplectic structures on four-dimensional Lie algebras and construct locally conformally symplectic structures on compact quotients of all four-dimensional connected and simply connected solvable Lie groups.
68 pages, around 40 of computations; no figures. Comments welcome!
- University of Florence Italy
- Philipps-University of Marburg Germany
- University of Chieti-Pescara Italy
Mathematics - Differential Geometry, 53D05, 22E60, 22E25, 53C55, 53D10, 53A30, locally conformally symplectic, Lie algebra, solvmanifold, four-manifold, Differential Geometry (math.DG), Mathematics - Symplectic Geometry, FOS: Mathematics, Symplectic Geometry (math.SG), locally conformally symplectic; Lie algebra; solvmanifold; four-manifold
Mathematics - Differential Geometry, 53D05, 22E60, 22E25, 53C55, 53D10, 53A30, locally conformally symplectic, Lie algebra, solvmanifold, four-manifold, Differential Geometry (math.DG), Mathematics - Symplectic Geometry, FOS: Mathematics, Symplectic Geometry (math.SG), locally conformally symplectic; Lie algebra; solvmanifold; four-manifold
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