Yamabe operator via BGG sequences. (Q2846615)
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scientific article; zbMATH DE number 6206687
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Yamabe operator via BGG sequences. |
scientific article; zbMATH DE number 6206687 |
Statements
9 September 2013
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Bernstein-Gelfand-Gelfand resolution
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Cartan connection
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parabolic geometry
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Yamabe operator
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Yamabe operator via BGG sequences. (English)
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The article under consideration presents a construction of the conformally invariant Yamabe operator using techniques from the ``Bernstein-Gelfand-Gelfand machinery'', adapted to an innite-dimensional setting. As main result, the author presents a suitable extension of the original BGG methods as developed by \textit{A. Čap} et al. [Ann. Math. (2) 154, No. 1, 97--113 (2001; Zbl 1159.58309)] and \textit{D. M. J. Calderbank} and \textit{T. Diemer} [J. Reine Angew. Math. 537, 67--103 (2001; Zbl 0985.58002)]. The proofs are written in a clear way and the author also introduces all the necessary notions for following the construction.
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0.7490171194076538
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0.716773271560669
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