Solvable groups and a shear construction

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• 作者：Marco Freibert^a ; ^{freibert@math.uni-kiel.de" class="auth_mail" title="E-mail the corresponding author} ; Andrew Swann^b ; ^{swann@math.au.dk" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 53C15 ; secondary ; 53C12 ; 53C30 ; 53C55 ; 32C37
• 刊名：Journal of Geometry and Physics
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：106
• 期：Complete
• 页码：268-274
• 全文大小：387 K

文摘

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.