Ricci flatness of certain compact pseudo-Kahler solvmanifolds

被引:1
|
作者
Yamada, Takumi [1 ]
机构
[1] Shimane Univ, Dept Math, Matsue, Shimane 6908504, Japan
关键词
Ricci-flat; Solvmanifold; Pseudo-Kahler manifold; Pseudo Calabi-Yau manifold; NILPOTENT LIE-ALGEBRAS; DOLBEAULT COHOMOLOGY; COMPLEX STRUCTURES; MANIFOLDS;
D O I
10.1016/j.geomphys.2011.06.006
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
It is well known that a pseudo-Kahler structure is one of the natural generalizations of a Kahler structure. In this paper, we consider Ricci curvature tensor of certain compact pseudo-Kahler solvmanifolds. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码:1338 / 1345
页数:8
相关论文
共 50 条
  • [31] NILPOTENCY OF THE RICCI OPERATOR OF PSEUDO-RIEMANNIAN SOLVMANIFOLDS
    An, Huihui
    Deng, Shaoqiang
    Yan, Zaili
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2024, 61 (03) : 867 - 873
  • [32] Nearly Pseudo-Kahler Manifolds and Related Special Holonomies Introduction
    Schaefer, Lars
    NEARLY PSEUDO-KAHLER MANIFOLDS AND RELATED SPECIAL HOLONOMIES, 2017, 2201 : 1 - +
  • [33] Para-Kahler and pseudo-Kahler structures on Lie-Yamaguti algebras
    Zhao, Jia
    Feng, Yuqin
    Qiao, Yu
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
  • [34] Ricci solitons on compact Kahler surfaces
    Ivey, T
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (04) : 1203 - 1208
  • [35] Rotationally symmetric pseudo-Kahler metrics of constant scalar curvatures
    Duan XiaoJuan
    Zhou Jian
    SCIENCE CHINA-MATHEMATICS, 2011, 54 (05) : 925 - 938
  • [36] CLASSIFICATION OF FLAT PSEUDO-KAHLER SUBMANIFOLDS IN COMPLEX PSEUDO-EUCLIDEAN SPACES
    Chen, Bang-Yen
    INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, 2011, 4 (02): : 184 - 192
  • [37] Cusp Kahler-Ricci flow on compact Kahler manifolds
    Liu, Jiawei
    Zhang, Xi
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2019, 198 (01) : 289 - 306
  • [38] Special Kahler-Ricci potentials on compact Kahler manifolds
    Derdzinski, A.
    Maschler, G.
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2006, 593 : 73 - 116
  • [39] Uniqueness of Kahler-Ricci solitons on compact Kahler manifolds
    Tian, G
    Zhu, XH
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1999, 329 (11): : 991 - 995
  • [40] 4-DIMENSIONAL COMPACT LOCALLY CONFORMAL KAHLER SOLVMANIFOLDS
    DEANDRES, LC
    FERNANDEZ, M
    MENCIA, JJ
    ROZAS, JI
    BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1988, 2A (03): : 377 - 382