Solvable Groups and a Shear Construction

Marco Freibert, Andrew Francis 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.

OriginalsprogEngelsk
TidsskriftJournal of Geometry and Physics
Vol/bind106
Sider (fra-til)268-274
Antal sider7
ISSN0393-0440
DOI
StatusUdgivet - 2016

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