Translation to bundle operators (Q2473508)
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| Language | Label | Description | Also known as |
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| English | Translation to bundle operators |
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Translation to bundle operators (English)
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27 February 2008
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The authors study conformally invariant operators on the product of spheres \(S^p \times S^q\), endowed with the natural pseudo-Riemannian product metric of index \(p\). Explicit formulas are provided, for invariant operators with leading term an \(m\)-th power of the Laplacian on functions, for all \(m\). The method is illustrated with the Yamabe and the Paneitz operators.
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conformally invariant operators
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pseudo-Riemannian product of spheres
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Fefferman-Graham ambient space
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conformal group
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