Rarita-Schwinger Type Operators on Cylinders

被引：2
|
作者：
Li, Junxia [1 ]
Ryan, John [1 ]
Judith Vanegas, Carmen [2 ]
机构：
[1] Univ Arkansas, Dept Math, Fayetteville, AR 72701 USA
[2] Univ Simon Bolivar, Dept Matemat, Caracas, Venezuela
来源：
ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2012年 / 22卷 / 03期
关键词：
Rarita-Schwinger operator on cylinder; fundamental solution; conformal spinor bundle on cylinder; CLIFFORD;
D O I：
10.1007/s00006-012-0359-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：771 / 788
页数：18
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