Locally conformally flat Kähler and para-Kähler manifolds

被引:0
|
作者
M. Ferreiro-Subrido
E. García-Río
R. Vázquez-Lorenzo
机构
[1] University of Santiago de Compostela,Faculty of Mathematics
[2] IES de Ribadeo Dionisio Gamallo,Department of Mathematics
来源
关键词
Kähler and para-Kähler surface; conformal flatness; Walker structure; Riemannian extension; affine surface;
D O I
暂无
中图分类号
学科分类号
摘要
We complete the classification of locally conformally flat Kähler and para-Kähler manifolds, describing all possible non-flat curvature models for Kähler and para-Kähler surfaces.
引用
收藏
页码:483 / 500
页数:17
相关论文
共 50 条
  • [31] Compact conformally Kähler Einstein-Weyl manifolds
    Włodzimierz Jelonek
    Annals of Global Analysis and Geometry, 2013, 43 : 19 - 29
  • [32] Self-similar Hessian and conformally Kähler manifolds
    Pavel Osipov
    Annals of Global Analysis and Geometry, 2022, 62 : 479 - 488
  • [33] Locally conformally Kähler spaces and proper open morphisms
    Preda, Ovidiu
    Stanciu, Miron
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2024, 66 (01)
  • [34] Classification of the conformally flat Tchebychev affine Kähler hypersurfaces
    Lei, Miaoxin
    Xu, Ruiwei
    Zhao, Peibiao
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2024, 537 (02)
  • [35] Locally conformally Kähler structures on unimodular Lie groups
    A. Andrada
    M. Origlia
    Geometriae Dedicata, 2015, 179 : 197 - 216
  • [36] New Class of Locally Conformal Kähler Manifolds
    Oubbiche Nour
    Beldjilali Gherici
    Bouzir Habib
    Delloum Adel
    Mediterranean Journal of Mathematics, 2023, 20
  • [37] Bochner-Kähler and Bach flat manifolds
    Amalendu Ghosh
    Ramesh Sharma
    Archiv der Mathematik, 2019, 113 : 551 - 560
  • [38] Para-Kähler-Einstein 4-manifolds and non-integrable twistor distributions
    Gil Bor
    Omid Makhmali
    Paweł Nurowski
    Geometriae Dedicata, 2022, 216
  • [39] Induced almost para-Kähler Einstein metrics on cotangent bundles
    Cap, Andreas
    Mettler, Thomas
    QUARTERLY JOURNAL OF MATHEMATICS, 2024,
  • [40] A Moment Map for Twisted-Hamiltonian Vector Fields on Locally Conformally Kähler Manifolds
    Angella, Daniele
    Calamai, Simone
    Pediconi, Francesco
    Spotti, Cristiano
    TRANSFORMATION GROUPS, 2023,