• Walter Thirring


The covariant derivative defines the rate of change of a tensor field in the direction of a vector. Covariant derivatives in two different directions do not in general commute; their commutator determines the curvature of space.


Vector Field Gauge Group Symmetric Space Orthogonal Basis Curvature Form 
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Copyright information

© Springer Science+Business Media New York 1997

Authors and Affiliations

  • Walter Thirring
    • 1
  1. 1.Institute for Theoretical PhysicsUniversity of ViennaViennaAustria

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