Basics of spin geometry

被引：0
|
作者：
机构：
来源：
DIRAC SPECTRUM | 2009年 / 1976卷
关键词：
COMPACT RIEMANNIAN-MANIFOLDS; DIRAC OPERATOR; 1ST EIGENVALUE; LOWER BOUNDS; SCALAR CURVATURE; SPECTRAL ASYMMETRY; KAHLER-MANIFOLDS; KILLING SPINORS; POINT SPECTRUM; SPACE;
D O I：
10.1007/978-3-642-01570-0_1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this chapter we define spin structures, spinors, the Dirac operator and discuss the properties we need further on. Unless explicitly mentioned all objects (manifolds, bundles, sections) will be assumed smooth in the whole survey. For the thorough treatment of spin or spin(c) groups, spin or spin(c) structures on vector bundles, representation theory of Clifford algebras and Dirac operators on arbitrary semi-Riemannian Clifford modules we refer to [63, 88, 173].
引用
收藏
页码：1 / +
页数：157
相关论文
共 50 条
  • [21] The geometry of quantum spin networks
    Classical Quant Gravity, 12 (3183):
  • [22] On the geometry of spin 1/2
    M. Socolovsky
    Advances in Applied Clifford Algebras, 2001, 11 (1) : 109 - 127
  • [23] SPIN OBSERVABLES AND NUCLEAR GEOMETRY
    MCNEIL, JA
    SPARROW, DA
    AMADO, RD
    PHYSICAL REVIEW C, 1982, 26 (03): : 1141 - 1147
  • [24] On the geometry of spin 1/2
    M. Socolovsky
    Advances in Applied Clifford Algebras, 2003, 13 (2) : 241 - 241
  • [25] Geometry and Curvature of Spin Networks
    Jonckheere, E.
    Schirmer, S. G.
    Langbein, F. C.
    2011 IEEE INTERNATIONAL CONFERENCE ON CONTROL APPLICATIONS (CCA), 2011, : 786 - 791
  • [26] A Relationship Between Spin and Geometry
    Bradshaw, Peter T. J.
    ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2024, 34 (03)
  • [27] Spin connection of twisted geometry
    Haggard, Hal M.
    Rovelli, Carlo
    Wieland, Wolfgang
    Vidotto, Francesca
    PHYSICAL REVIEW D, 2013, 87 (02)
  • [28] Geometry and analysis of spin equations
    Fan, Huijun
    Jarvis, Tyler J.
    Ruan, Yongbin
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2008, 61 (06) : 745 - 788
  • [29] Spin geometry and grand unification
    Marcus S. Cohen
    Advances in Applied Clifford Algebras, 2001, 11 (1) : 129 - 163
  • [30] Spin Geometry and Image Processing
    Michel Berthier
    Advances in Applied Clifford Algebras, 2014, 24 : 293 - 312
12345