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Symplectic half-flat solvmanifolds

2012; Springer Science+Business Media; Volume: 43; Issue: 4 Linguagem: Inglês

10.1007/s10455-012-9349-6

1572-9060

Marisa Fernández, Víctor Manero, Antonio Otal, Luis Ugarte,

Geometric Analysis and Curvature Flows

We classify solvable Lie groups admitting left invariant symplectic half-flat structure. When the Lie group has a compact quotient by a lattice, we show that these structures provide solutions of supersymmetric equations of type IIA.