Rarita-Schwinger Type Operators on Spheres and Real Projective Space
Complex Variables
2012-11-01 v2
Abstract
In this paper we deal with Rarita-Schwinger type operators on spheres and real projective space. First we define the spherical Rarita-Schwinger type operators and construct their fundamental solutions. Then we establish that the projection operators appearing in the spherical Rarita-Schwinger type operators and the spherical Rarita-Schwinger type equations are conformally invariant under the Cayley transformation. Further, we obtain some basic integral formulas related to the spherical Rarita-Schwinger type operators. Second, we define the Rarita-Schwinger type operators on the real projective space and construct their kernels and Cauchy integral formulas.
Keywords
Cite
@article{arxiv.1106.1943,
title = {Rarita-Schwinger Type Operators on Spheres and Real Projective Space},
author = {Junxia Li and John Ryan and Carmen J. Vanegas},
journal= {arXiv preprint arXiv:1106.1943},
year = {2012}
}
Comments
21 pages. arXiv admin note: text overlap with arXiv:1106.3588