Eigenvalues of conformally invariant operators on spheres

Abstract

Spectrum of a certain class of first order conformally invariant operators on the sphere is explicitly computed. The class contains the (elliptic verions of) Rarita-Schwinger operator and its higher spin analogues.

14 pages

References in corpus (1)

• On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces

Cited by in corpus (5)

• The higher spin Dirac operators
• Spectra of the Rarita-Schwinger operator on some symmetric spaces
• The spinor and tensor fields with higher spin on spaces of constant curvature
• Spherical harmonic polynomials for higher bundles
• The Higher Spin Dirac Operators on 3-Dimensional Manifolds