Solvable Groups and a Shear Construction

Marco Freibert, Andrew Francis Swann

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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.

Original languageEnglish
JournalJournal of Geometry and Physics
Pages (from-to)268-274
Number of pages7
Publication statusPublished - 2016


  • Foliation
  • G2 structure
  • Hermitian geometry
  • Solvable Lie group
  • T-duality


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