Rarita-Schwinger Type Operators on Cylinders

被引：0
|
作者：
Junxia Li
John Ryan
Carmen Judith Vanegas
机构：
[1] University of Arkansas,Department of Mathematics
[2] Universidad Simón Bolívar,Departamento de Matemáticas
来源：
Advances in Applied Clifford Algebras | 2012年 / 22卷
关键词：
Primary 30G35; Secondary 53C27; Rarita-Schwinger operator on cylinder; fundamental solution; conformal spinor bundle on cylinder;
D O I：
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学科分类号：
摘要：
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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页码：771 / 788
页数：17
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