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Basic Operators in Differential Geometry and Conformal Covariance

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2170)

Abstract

In this chapter we collect some elementary properties of basic operators such as the Hodge star operator, the codifferential d*, and the interior multiplication iNY (X) by the normal vector field for hypersurfaces Y in pseudo-Riemannian manifolds X.

Keywords

  • Transformation Rule
  • Conformal Transformation
  • Basic Operator
  • Conformal Factor
  • Conformal Group

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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© 2016 Springer Nature Singapore Pte Ltd.

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Kobayashi, T., Kubo, T., Pevzner, M. (2016). Basic Operators in Differential Geometry and Conformal Covariance. In: Conformal Symmetry Breaking Operators for Differential Forms on Spheres. Lecture Notes in Mathematics, vol 2170. Springer, Singapore. https://doi.org/10.1007/978-981-10-2657-7_8

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