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arXiv · 1506.00207

Solvable groups and a shear construction

Marco Freibert·Andrew Swann
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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.

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Marco Freibert, Andrew Swann. 2015-05-31. Solvable groups and a shear construction. https://doi.org/10.1016/j.geomphys.2016.04.013

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