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Conformally Covariant Families

Part of the Progress in Mathematics book series (PM, volume 275)

Abstract

Let M be a smooth oriented manifold and i: Σ ↪ M an oriented codimension one submanifold (hypersurface). In this chapter, we shall discuss conformally covariant families of differential operators C(M) → C(Σ) in the presence of general background metrics on M. The model cases (ℝn+1, ℝn) with the Euclidean metric on ℝn+1, (Sn+1, Sn) with the round metric on Sn+1 and \( (\mathbb{B}^{n + 1} ,S^n ) \) with the Euclidean metric on \( \mathbb{B}^{n + 1} \) (Chapter 5) are now viewed as special cases in a much wider framework.

Keywords

Recursive Relation Factorization Identity Recursive Formula Einstein Metrics Verma Module 
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

© Birkhäuser Verlag AG 2009

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