Solvable Groups and a Shear Construction

Marco Freibert; Andrew Francis Swann

doi:10.1016/j.geomphys.2016.04.013

Solvable Groups and a Shear Construction

Marco Freibert
, Andrew Francis Swann

Department of Mathematics

Research output: Contribution to journal/Conference contribution in journal/Contribution to newspaper › Journal article › Research › peer-review

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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 language	English
Journal	Journal of Geometry and Physics
Volume	106
Pages (from-to)	268-274
Number of pages	7
ISSN	0393-0440
DOIs	https://doi.org/10.1016/j.geomphys.2016.04.013
Publication status	Published - 1 Aug 2016

Keywords

Foliation
G2 structure
Hermitian geometry
Solvable Lie group
T-duality

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10.1016/j.geomphys.2016.04.013

https://arxiv.org/abs/1506.00207

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title = "Solvable Groups and a Shear Construction",

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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AU - Freibert, Marco

AU - Swann, Andrew Francis

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AB - 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.

KW - Foliation

KW - G2 structure

KW - Hermitian geometry

KW - Solvable Lie group

KW - T-duality

UR - https://www.scopus.com/pages/publications/84965081762

U2 - 10.1016/j.geomphys.2016.04.013

DO - 10.1016/j.geomphys.2016.04.013

M3 - Journal article

SN - 0393-0440

VL - 106

SP - 268

EP - 274

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

Solvable Groups and a Shear Construction

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Keywords

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