-structures with torsion from half-integrable nilmanifolds

2004/04/30 by Simon Chiossi, Simon G. Chiossi, Andrew Swann · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Nonlinear Waves and Solitons #hep-th #math.DG #msc:53C10 #msc:53C29

paper · pdf · doi:10.1016/j.geomphys.2004.09.009

published as J. Geom. Phys. 54 (2005), no. 3, 262-285 · 24 pages

arxiv created 2004/04/30 · openalex publication_date 2004/12/15 · arxiv updated 2012/01/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The equations for a G₂-structure with torsion on a product M⁷ = N⁶ x S¹ are studied in relation to the induced SU(3)-structure on N⁶. All solutions are found in the case when the Lee-form of the G₂-structure is non-zero and N⁶ is a six-dimensional nilmanifold with half-integrable SU(3)-structure. Special properties of the torsion of these solutions are discussed.

Citations

• KT and HKT Geometries in Strings and in Black Hole Moduli Spaces
• Complex structures on nilpotent Lie algebras
• Almost Hermitian Geometry on Six Dimensional Nilmanifolds
• On the Cohomology of Compact Homogeneous Spaces of Nilpotent Lie Groups

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