Solvable groups and a shear construction
Differential Geometry
2018-11-08 v1
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.
Keywords
Cite
@article{arxiv.1506.00207,
title = {Solvable groups and a shear construction},
author = {Marco Freibert and Andrew Swann},
journal= {arXiv preprint arXiv:1506.00207},
year = {2018}
}
Comments
10 pages