Symplectic half-flat solvmanifolds

被引：12
|
作者：
Fernandez, M. [1 ]
Manero, V. [1 ]
Otal, A. [2 ]
Ugarte, L. [2 ]
机构：
[1] Univ Basque Country, Fac Ciencias & Tecnol, Dept Matemat, E-48080 Bilbao, Spain
[2] Univ Zaragoza, Dept Matemat, IUMA, E-50009 Zaragoza, Spain
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2013年 / 43卷 / 04期
关键词：
Symplectic half-flat structures; Solvable Lie algebras; Supersymmetric equations of type IIA;
D O I：
10.1007/s10455-012-9349-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We classify solvable Lie groups admitting left invariant symplectic half-flat structure. When the Lie group has a compact quotient by a lattice, we show that these structures provide solutions of supersymmetric equations of type IIA.
引用
收藏
页码：367 / 383
页数：17
相关论文
共 50 条
  • [1] Symplectic half-flat solvmanifolds
    M. Fernández
    V. Manero
    A. Otal
    L. Ugarte
    [J]. Annals of Global Analysis and Geometry, 2013, 43 : 367 - 383
  • [2] On symplectic half-flat manifolds
    Adriano Tomassini
    Luigi Vezzoni
    [J]. manuscripta mathematica, 2008, 125 : 515 - 530
  • [3] On symplectic half-flat manifolds
    Tomassini, Adriano
    Vezzoni, Luigi
    [J]. MANUSCRIPTA MATHEMATICA, 2008, 125 (04) : 515 - 530
  • [4] Homogeneous symplectic half-flat 6-manifolds
    Podesta, Fabio
    Raffero, Alberto
    [J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2019, 55 (01) : 1 - 15
  • [5] Homogeneous symplectic half-flat 6-manifolds
    Fabio Podestà
    Alberto Raffero
    [J]. Annals of Global Analysis and Geometry, 2019, 55 : 1 - 15
  • [6] On the automorphism group of a symplectic half-flat 6-manifold
    Podesta, Fabio
    Raffero, Alberto
    [J]. FORUM MATHEMATICUM, 2019, 31 (01) : 265 - 273
  • [7] Half-flat nilmanifolds
    Diego Conti
    [J]. Mathematische Annalen, 2011, 350 : 155 - 168
  • [8] Half-flat nilmanifolds
    Conti, Diego
    [J]. MATHEMATISCHE ANNALEN, 2011, 350 (01) : 155 - 168
  • [9] TOPOLOGICAL HALF-FLAT GRAVITY
    KUNITOMO, H
    [J]. PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 1992, (110): : 25 - 39
  • [10] Half-flat quantum hair
    Garcia-Compean, Hugo
    Loaiza-Brito, Oscar
    Martinez-Merino, Aldo
    Santos-Silva, Roberto
    [J]. PHYSICAL REVIEW D, 2014, 89 (04):
12345