Solvable groups and a shear construction

被引：1
|
作者：
Freibert, Marco [1 ]
Swann, Andrew [2 ]
机构：
[1] Univ Kiel, Math Seminar, Ludewig Meyn Str 4, D-24098 Kiel, Germany
[2] Aarhus Univ, Dept Math, Ny Munkegade 118,Bldg 1530, DK-8000 Aarhus C, Denmark
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2016年 / 106卷
关键词：
T-duality; Solvable Lie group; Foliation; Hermitian geometry; G2; structure; GEOMETRY; NILMANIFOLDS; SPACES;
D O I：
10.1016/j.geomphys.2016.04.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2016 Elsevier B.V. All rights reserved.
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页码：268 / 274
页数：7
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