English

Symplectic half-flat solvmanifolds

Differential Geometry 2012-07-25 v4

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

Cite

@article{arxiv.1111.4125,
  title  = {Symplectic half-flat solvmanifolds},
  author = {Marisa Fernández and Víctor Manero and Antonio Otal and Luis Ugarte},
  journal= {arXiv preprint arXiv:1111.4125},
  year   = {2012}
}

Comments

16 pages; presentation improved, one reference added and typos corrected; to appear in Ann. Global Anal. Geom

R2 v1 2026-06-21T19:37:36.764Z