CR Embeddings and Kähler Manifolds with Pseudo-Conformally Flat Curvature Tensors

被引：0
|
作者：
Xiaojun Huang
Shanyu Ji
Brandon Lee
机构：
[1] Rutgers University,Department of Mathematics
[2] University of Houston,Department of Mathematics
来源：
The Journal of Geometric Analysis | 2014年 / 24卷
关键词：
CR embedding; Kähler manifold; Pseudo-conformally flat curvature tensor; 30V30; 30V20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Under certain conditions on co-dimension and curvature tensors, the image of some CR or holomorphic maps are proved to be totally geodesic.
引用
收藏
页码：1912 / 1928
页数：16
相关论文
共 50 条
  • [1] CR Embeddings and Kahler Manifolds with Pseudo-Conformally Flat Curvature Tensors
    Huang, Xiaojun
    Ji, Shanyu
    Lee, Brandon
    JOURNAL OF GEOMETRIC ANALYSIS, 2014, 24 (04) : 1912 - 1928
  • [2] Locally conformally flat Kähler and para-Kähler manifolds
    M. Ferreiro-Subrido
    E. García-Río
    R. Vázquez-Lorenzo
    Annals of Global Analysis and Geometry, 2021, 59 : 483 - 500
  • [3] Trees and tensors on Kähler manifolds
    Hao Xu
    Shing-Tung Yau
    Annals of Global Analysis and Geometry, 2013, 44 : 151 - 168
  • [4] On toric locally conformally Kähler manifolds
    Farid Madani
    Andrei Moroianu
    Mihaela Pilca
    Annals of Global Analysis and Geometry, 2017, 51 : 401 - 417
  • [5] Transformations of locally conformally Kähler manifolds
    Andrei Moroianu
    Liviu Ornea
    manuscripta mathematica, 2009, 130 : 93 - 100
  • [6] Conformally flat manifolds with nonnegative Ricci curvature
    Carron, G
    Herzlich, M
    COMPOSITIO MATHEMATICA, 2006, 142 (03) : 798 - 810
  • [7] Curvature operators on Kähler manifolds
    Minemyer, Barry
    ADVANCES IN MATHEMATICS, 2025, 464
  • [8] On harmonic symmetries for locally conformally Kähler manifolds
    Teng Huang
    Annali di Matematica Pura ed Applicata (1923 -), 2022, 201 : 2241 - 2259
  • [9] Flat nearly Kähler manifolds
    Vicente Cortés
    Lars Schäfer
    Annals of Global Analysis and Geometry, 2007, 32 : 379 - 389
  • [10] Isometric immersions of locally conformally Kähler manifolds
    Daniele Angella
    Michela Zedda
    Annals of Global Analysis and Geometry, 2019, 56 : 37 - 55
12345