Twistor operators on conformally flat spaces

Somberg, Petr

Proceedings of the 20th Winter School "Geometry and Physics", GDML_Books, (2001), p. 179-197 / Harvested from

Résumé

Summary: We describe explicitly the kernels of higher spin twistor operators on standard even dimensional Euclidean space $ℛ^{2 l}$ , standard even dimensional sphere $S^{2 l}$ , and standard even dimensional hyperbolic space $ℋ^{2 l}$ , 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 $ℛ^{2 l}, S^{2 l}, ℋ^{2 l}$ .

MR MR1826691 | Zbl 1056.53034

EUDML-ID : urn:eudml:doc:220603
Mots clés:

@article{701678,
     title = {Twistor operators on conformally flat spaces},
     booktitle = {Proceedings of the 20th Winter School "Geometry and Physics"},
     series = {GDML\_Books},
     publisher = {Circolo Matematico di Palermo},
     address = {Palermo},
     year = {2001},
     pages = {179-197},
     mrnumber = {MR1826691},
     zbl = {1056.53034},
     url = {http://dml.mathdoc.fr/item/701678}
}

Somberg, Petr. Twistor operators on conformally flat spaces, dans Proceedings of the 20th Winter School "Geometry and Physics", GDML_Books,  (2001), pp. 179-197. http://gdmltest.u-ga.fr/item/701678/