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Annals of Global Analysis and Geometry

, Volume 43, Issue 4, pp 367–383 | Cite as

Symplectic half-flat solvmanifolds

  • M. Fernández
  • V. Manero
  • A. Otal
  • L. UgarteEmail author
Article

Abstract

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.

Keywords

Symplectic half-flat structures Solvable Lie algebras Supersymmetric equations of type IIA 

Mathematics Subject Classification (2000)

Primary 53C15 Secondary 22E25 53C80 17B30 53C38 

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Copyright information

© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.Departamento de Matemáticas, Facultad de Ciencia y TecnologíaUniversidad del PaísVascoBilbaoSpain
  2. 2.Departamento de Matemáticas-I.U.M.A.Universidad de ZaragozaZaragozaSpain

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