Solvable groups and a shear construction
arXiv:1506.00207 · doi:10.1016/j.geomphys.2016.04.013
Abstract
The twist construction is a geometric model of T-duality that includes constructions of nilmanifolds from tori. This paper shows how one-dimensional foliations on manifolds may be used in a shear construction, which in algebraic form builds certain solvable Lie groups from Abelian ones. We discuss other examples of geometric structures that may be obtained from the shear construction.
10 pages