Rarita-Schwinger Type operators on Cylinders

Details Rarita-Schwinger Type operators on Cylinders Rarita-Schwinger Type operators on Cylinders

2011-11-16

arxiv.org/abs/1111.3931v1

Mathematics

Analysis of PDEs

17 pages

Scientific paper

Here we define Rarita-Schwinger operators on cylinders and construct their fundamental solutions. Further the fundamental solutions to the cylindrical Rarita-Schwinger type operators are achieved by applying translation groups. In turn, a Borel-Pompeiu Formula, Cauchy Integral Formula and a Cauchy Transform are presented for the cylinders. Moreover we show a construction of a number of conformally inequivalent spinor bundles on these cylinders. Again we construct Rarita-Schwinger operators and their fundamental solutions in this setting. Finally we study the remaining Rarita-Schwinger type operators on cylinders.

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