2011/11/16 by Junxia Li, John Ryan, Li, Junxia +4
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Waves and Solitons #math.AP
paper · pdf · doi:10.48550/arxiv.1111.3931
17 pages
arxiv created 2011/11/16 · openalex publication_date 2011/11/16 · arxiv updated 2015/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.