Parallel spinors on pseudo-Riemannian spinc manifolds

被引：7
|
作者：
Ikemakhen, Aziz [1 ]
机构：
[1] Cadi Ayyad Univ, Fac Sci & Tech, Marrakech, Morocco
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2006年 / 56卷 / 09期
关键词：
holonomy groups; pseudo-Riemannian spin(c) manifolds; parallel spinors;
D O I：
10.1016/j.geomphys.2005.07.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We describe, by their holonomy groups, all simply connected irreducible non-locally symmetric pseudo-Riemannian spin(c) manifolds which admit parallel spinors. So we generalize the Riemannian spin(c) case [A. Moroianu, Parallel and killing spinors on spin(c) manifolds, Commun. Math. Phys. 187 (1997) 417-427] and the pseudo-Riemannian spin one [I]. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：1473 / 1483
页数：11
相关论文
共 50 条
  • [1] Parallel pure spinors on pseudo-Riemannian manifolds
    Kath, I
    [J]. GEOMETRY AND TOPOLOGY OF SUBMANIFOLDS X: DIFFERENTIAL GEOMETRY IN HONOR OF PROF S.S. CHERN, 2000, : 87 - 103
  • [2] Parallel spinors and holonomy groups on pseudo-Riemannian spin manifolds
    Baum, H
    Kath, I
    [J]. ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 1999, 17 (01) : 1 - 17
  • [3] Parallel Spinors and Holonomy Groups on Pseudo-Riemannian Spin Manifolds
    Helga Baum
    Ines Kath
    [J]. Annals of Global Analysis and Geometry, 1999, 17 : 1 - 17
  • [4] On pseudo-Riemannian manifolds with many Killing spinors
    Alekseevsky, D. V.
    Cortes, V.
    [J]. SPECIAL METRICS AND SUPERSYMMETRY, 2009, 1093 : 3 - +
  • [5] Holonomy groups and parallel spinors on totally reducible pseudo-Riemannian manifolds.
    Ikemakhen, A
    [J]. COMPTES RENDUS MATHEMATIQUE, 2004, 339 (03) : 203 - 208
  • [6] Parallel and Killing Spinors on Spinc Manifolds
    Andrei Moroianu
    [J]. Communications in Mathematical Physics, 1997, 187 : 417 - 427
  • [7] Parallel spinors on Lorentzian Spinc manifolds
    Ikemakhen, Aziz
    [J]. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2007, 25 (03) : 299 - 308
  • [8] A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds
    Chen, Bang-Yen
    [J]. AXIOMS, 2019, 8 (04)
  • [9] Seiberg-Witten Equations on Pseudo-Riemannian Spinc Manifolds With Neutral Signature
    Degirmenci, Nedim
    Karapazar, Senay
    [J]. ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2012, 20 (01): : 73 - 88
  • [10] Pseudo-Riemannian manifolds
    Girbau, Joan
    Bruna, Lluís
    [J]. Progress in Mathematical Physics, 2010, 58 : 1 - 17
12345