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

页码：771 / 788

页数：18

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