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arXiv · 1106.1943

Rarita-Schwinger Type Operators on Spheres and Real Projective Space

Junxia Li·John Ryan·Carmen J. Vanegas
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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.

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Junxia Li, John Ryan, Carmen J. Vanegas. 2011-06-10. Rarita-Schwinger Type Operators on Spheres and Real Projective Space. https://doi.org/10.5817/am2012-4-271

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