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.

Original languageEnglish
JournalJournal of Geometry and Physics
Volume106
Pages (from-to)268-274
Number of pages7
ISSN0393-0440
DOIs
Publication statusPublished - 2016

Keywords

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

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