Eigenvalues of conformally invariant operators on spheres. (English) Zbl 0958.58024

Bureš, Jarolím; Souček, Vladimír

Slovák, Jan (ed.) et al., Proceedings of the 18th winter school “Geometry and physics”, Srní, Czech Republic, January 10-17, 1998. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 59, 109-122 (1999).

The authors compute explicitely the spectra of the so called higher spin Dirac operators on the standard sphere \( (S ^n, g _{\text{can}})\).
For the entire collection see [Zbl 0913.00039].

Reviewer: Mircea Puta (Timişoara)

MSC:

58J50	Spectral problems; spectral geometry; scattering theory on manifolds
58C40	Spectral theory; eigenvalue problems on manifolds

Keywords:

spectral properties; invariant operators; sphere; higher spin Dirac operators