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Title: Twistor operators on conformally flat spaces (English)
Author: Somberg, Petr
Language: English
Journal: Proceedings of the 20th Winter School "Geometry and Physics"
Issue: 2000
Pages: 179-197
Category: math
Summary: Summary: We describe explicitly the kernels of higher spin twistor operators on standard even dimensional Euclidean space $\mathcal{R}^{2l}$, standard even dimensional sphere $S^{2l}$, and standard even dimensional hyperbolic space $\mathcal{H}^{2l}$, using realizations of invariant differential operators inside spinor valued differential forms. The kernels are finite dimensional vector spaces (of the same cardinality) generated by spinor valued polynomials on $\mathcal{R}^{2l},S^{2l},\mathcal{H}^{2l}$. (English)
MSC: 22E45
MSC: 53A30
MSC: 53C28
idZBL: Zbl 1056.53034
idMR: MR1826691
Date available: 2009-07-13T21:45:55Z
Last updated: 2012-11-07
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