Killing Forms on Quaternion-Kähler Manifolds

被引：0
|
作者：
Andrei Moroianu
Uwe Semmelmann
机构：
[1] École Polytechnique,CMAT
[2] UMR,Fachbereich Mathematik
[3] Universität Hamburg,undefined
来源：
Annals of Global Analysis and Geometry | 2005年 / 28卷
关键词：
Killing forms; quaternion manifolds;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that every Killing p-form on a compact quaternion manifold has to be parallel for p≥ 2.
引用
收藏
页码：319 / 335
页数：16
相关论文
共 50 条
  • [31] Flat nearly Kähler manifolds
    Vicente Cortés
    Lars Schäfer
    Annals of Global Analysis and Geometry, 2007, 32 : 379 - 389
  • [32] Hyper-Kähler Manifolds
    Olivier Debarre
    Milan Journal of Mathematics, 2022, 90 : 305 - 387
  • [33] Hypercomplex structures on Kähler manifolds
    M. Verbitsky
    Geometric & Functional Analysis GAFA, 2005, 15 : 1275 - 1283
  • [34] Trees and tensors on Kähler manifolds
    Hao Xu
    Shing-Tung Yau
    Annals of Global Analysis and Geometry, 2013, 44 : 151 - 168
  • [35] A note on almost kähler manifolds
    Domenico Catalano
    Filip Defever
    Ryszard Deszcz
    Marian Hotloś
    Zbigniew Olszak
    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 1999, 69 : 59 - 65
  • [36] Parallel Translation on Kähler Manifolds
    Rongmu Yan
    Chinese Annals of Mathematics, Series B, 2020, 41 : 451 - 464
  • [37] Homogeneous Kähler and Hamiltonian manifolds
    Bruce Gilligan
    Christian Miebach
    Karl Oeljeklaus
    Mathematische Annalen, 2011, 349 : 889 - 901
  • [38] ?Parallel Translation on K?hler Manifolds
    Rongmu YAN
    Chinese Annals of Mathematics,Series B, 2020, (03) : 451 - 464
  • [39] Homogeneous nearly Kähler manifolds
    J. C. González Dávila
    F. Martín Cabrera
    Annals of Global Analysis and Geometry, 2012, 42 : 147 - 170
  • [40] Curvature operators on Kähler manifolds
    Minemyer, Barry
    ADVANCES IN MATHEMATICS, 2025, 464
12345