Solvmanifolds and Generalized Kahler Structures

被引：0
|
作者：
Fino, Anna [1 ]
Tomassini, Adriano [2 ]
机构：
[1] Univ Torino, Dipartimento Matemat, Via Carlo Alberto 10, I-10123 Turin, Italy
[2] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy
来源：
NOTE DI MATEMATICA | 2008年 / 28卷
关键词：
generalized complex structure; generalized Kahler structure; solvmanifold; Hermitian metric; torsion;
D O I：
10.1285/i15900932v28n1supplp169
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We review generalized complex geometry in relation with solvmanifolds and we describe the construction in [17] of a generalized Kahler structure on a 6-dimensional solvmanifold. The compact manifold is the total space of a T-2 -bundle over an Inoue surface and does not admit any Kahler structure.
引用
收藏
页码：169 / 190
页数：22
相关论文
共 50 条
  • [31] VAISMAN STRUCTURES ON LCK SOLVMANIFOLDS
    Sawai, Hiroshi
    TSUKUBA JOURNAL OF MATHEMATICS, 2023, 47 (01) : 1 - 17
  • [32] Generalized Kahler structures on group manifolds and T-duality
    Ang, J. P.
    Driezen, Sibylle
    Rocek, Martin
    Sevrin, Alexander
    JOURNAL OF HIGH ENERGY PHYSICS, 2018, (05):
  • [33] Vaisman structures on compact solvmanifolds
    Sawai, Hiroshi
    GEOMETRIAE DEDICATA, 2015, 178 (01) : 389 - 404
  • [34] A structure theorem of compact complex parallelizable pseudo-Kahler solvmanifolds
    Yamada, Takumi
    OSAKA JOURNAL OF MATHEMATICS, 2006, 43 (04) : 923 - 933
  • [35] EXAMPLES OF 4-DIMENSIONAL COMPACT LOCALLY CONFORMAL KAHLER SOLVMANIFOLDS
    DEANDRES, LC
    CORDERO, LA
    FERNANDEZ, M
    MENCIA, JJ
    GEOMETRIAE DEDICATA, 1989, 29 (02) : 227 - 232
  • [36] Generalized Kahler manifolds, commuting complex structures, and split tangent bundles
    Apostolov, Vestislav
    Gualtieri, Marco
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2007, 271 (02) : 561 - 575
  • [37] Symplectic structures and cohomologies on some solvmanifolds
    Gorbatsevich, VV
    SIBERIAN MATHEMATICAL JOURNAL, 2003, 44 (02) : 260 - 274
  • [38] Generalized Kahler and hyper-Kahler quotients
    Bursztyn, Henrique
    Cavalcanti, Gil R.
    Gualtieri, Marco
    POISSON GEOMETRY IN MATHEMATICS AND PHYSICS, 2008, 450 : 61 - +
  • [39] Examples of solvmanifolds without LCK structures
    Sawai, Hiroshi
    COMPLEX MANIFOLDS, 2018, 5 (01): : 103 - 110
  • [40] Locally conformally product structures on solvmanifolds
    Andrada, Adrian
    del Barco, Viviana
    Moroianu, Andrei
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2024, 203 (05) : 2425 - 2456
12345