×

Conformal lower bounds for the Dirac operator of embedded hypersurfaces. (English) Zbl 1016.58013

Author’s abstract: We find sharp lower bounds for the first nonnegative eigenvalue of the classical intrinsic Dirac operator of a compact hypersurface bounding a domain in a Riemannian spin manifold. These estimates are given in terms of scalar (spectral) conformal invariants of the enclosed domain which are involved in the solution of the Yamabe problem.

MSC:

58J50 Spectral problems; spectral geometry; scattering theory on manifolds
53C20 Global Riemannian geometry, including pinching
PDF BibTeX XML Cite
Full Text: DOI