The properties of the transversal Killing spinor and transversal twistor spinor for Riemannian foliations

被引：0
|
作者：
Dal Jung, S [1 ]
Moon, YB [1 ]
机构：
[1] Cheju Natl Univ, Dept Math, Cheju 690756, South Korea
来源：
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2005年 / 42卷 / 06期
关键词：
transversal Dirac operator; transversal Killing spinor; transversal twistor spinor;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the properties of the transversal Killing and twistor spinors for a Riemannian foliation with a transverse spin structure. And we investigate the relations between them. As an application, we give a new lower bound for the eigenvalues of the basic Dirac operator by using the transversal twistor operator.
引用
下载
收藏
页码：1169 / 1186
页数：18
相关论文
共 50 条
  • [21] The length function of a twistor spinor with zero
    Fatmagül Mintaş
    Annals of Global Analysis and Geometry, 2012, 41 : 493 - 514
  • [22] Foliations with transversal quaternionic structures
    Piccinni P.
    Vaisman I.
    Annali di Matematica Pura ed Applicata (1923 -), 2001, 180 (3): : 303 - 330
  • [23] Spinor and twistor formulations of massless particles with rigidity
    Deguchi, Shinichi
    Suzuki, Takafumi
    PHYSICS LETTERS B, 2014, 731 : 337 - 341
  • [24] Homogeneous Killing spinor spacetimes
    Van den Bergh, N.
    CLASSICAL AND QUANTUM GRAVITY, 2011, 28 (24)
  • [25] TRANSVERSAL JACOBI FIELDS FOR HARMONIC FOLIATIONS
    KAMBER, FW
    TONDEUR, P
    TOTH, G
    MICHIGAN MATHEMATICAL JOURNAL, 1987, 34 (02) : 261 - 266
  • [26] ON TRANSVERSAL INFINITESIMAL AUTOMORPHISMS FOR HARMONIC FOLIATIONS
    TONDEUR, P
    TOTH, G
    GEOMETRIAE DEDICATA, 1987, 24 (02) : 229 - 236
  • [27] TRANSVERSAL INFINITESIMAL AUTOMORPHISMS ON KAHLER FOLIATIONS
    Jung, Seoung Dal
    Liu, Huili
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 86 (03) : 405 - 415
  • [28] Remarks on transversal Killing spinors
    Ginoux, Nicolas
    Habib, Georges
    COMPTES RENDUS MATHEMATIQUE, 2008, 346 (11-12) : 657 - 659
  • [29] TWISTOR GEOMETRY, SPINOR-STRUCTURE AND NATURE OF SUPERSPACE
    BANDYOPADHYAY, P
    GHOSH, P
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 1989, 4 (05): : 1111 - 1123
  • [30] A pure spinor twistor description of the D=10 superparticle
    Sepulveda, Diego Garcia
    Guillen, Max
    JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (08)
12345