Renormalized weighted volume and conformal fractional Laplacians (Q448916)
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scientific article; zbMATH DE number 6080825
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Renormalized weighted volume and conformal fractional Laplacians |
scientific article; zbMATH DE number 6080825 |
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Renormalized weighted volume and conformal fractional Laplacians (English)
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11 September 2012
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The aim of this note is to give a weighted version of the renormalized volume and to find its relationship with the fractional curvature \(Q_{\gamma }\) for \(\gamma \in (0, 1)\). A main tool is the conformal fractional Laplacian (Paneitz) operator \(P_{\gamma }\) defined on the boundary of a conformally compact Einstein manifold.
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fractional Laplacian
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renormalized volume
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fractional curvature
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