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Differential Operators on Smooth Manifolds

  • Alexey V. Shchepetilov
Chapter
  • 550 Downloads
Part of the Lecture Notes in Physics book series (LNP, volume 707)

Abstract

The property of a differential operator on a smooth manifold M to be invariant with respect to an action of some group G (especially a Lie group) on M plays a great role in mathematical physics since it helps select physically significant operators. The algebra DiffG(M) of all G-invariant differential operators with complex or real coefficients on M gives the material for constructing G-invariant physical theories on M. Properties of such theory are in close connection with properties of the algebra DiffG(M).

Keywords

Riemannian Manifold Linear Subspace Smooth Manifold Isometry Group Symmetric Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

  • Alexey V. Shchepetilov
    • 1
  1. 1.Faculty of PhysicsM.V. Lomonosov Moscow State UniversityMoscowRussia

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