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.
引用
收藏
页码：268 / 274
页数：7
相关论文
共 50 条
  • [41] James construction, Fox torus homotopy groups, and Hopf invariants
    Golasinski, Marek
    Goncalves, Daciberg
    Wong, Peter
    HOMOTOPY THEORY OF FUNCTION SPACES AND RELATED TOPICS, 2010, 519 : 123 - 132
  • [42] An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups
    Fischer, Veronique
    Tripaldi, Francesca
    ADVANCES IN MATHEMATICS, 2023, 429
  • [43] Holomorphically induced representations of exponential solvable semi-direct product groups R (sic) R-n
    Inoue, Junko
    ADVANCES IN PURE AND APPLIED MATHEMATICS, 2015, 6 (02) : 113 - 123
  • [44] On balanced Hermitian structures on Lie groups
    Medori, C.
    Tomassini, A.
    Ugarte, L.
    GEOMETRIAE DEDICATA, 2013, 166 (01) : 233 - 250
  • [45] Formality properties of finitely generated groups and Lie algebras
    Suciu, Alexander I.
    Wang, He
    FORUM MATHEMATICUM, 2019, 31 (04) : 867 - 905
  • [46] A Solvable Algebra for Massless Fermions
    Groote, Stefan
    Saar, Rein
    SYMMETRY-BASEL, 2024, 16 (01):
  • [47] Solvable Models for Kodaira Surfaces
    Console, Sergio
    Ovando, Gabriela P.
    Subils, Mauro
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2015, 12 (01) : 187 - 204
  • [48] Solvable Models for Kodaira Surfaces
    Sergio Console
    Gabriela P. Ovando
    Mauro Subils
    Mediterranean Journal of Mathematics, 2015, 12 : 187 - 204
  • [49] Explicit construction of frames and pairs of dual frames on locally compact abelian groups
    Christensen, Ole
    Goh, Say Song
    SAMPLING THEORY SIGNAL PROCESSING AND DATA ANALYSIS, 2021, 19 (01):
  • [50] Homogeneous algorithms and solvable problems on cones
    Krieg, David
    Kritzer, Peter
    JOURNAL OF COMPLEXITY, 2024, 83
12345