Reilly-type spinorial inequalities

by Nicolas Ginoux

in: J.-P. Bourguignon et al. (eds.): ''Dirac operators: Yesterday and Today'', 263-269, International Press, 2005

The original publication is available here.


Abstract: We obtain a new upper bound for the smallest eigenvalue of the classical Dirac operator on a hypersurface. We show that the geodesic spheres are the only hypersurfaces in the hyperbolic space on which this upper bound is sharp.




Nicolas Ginoux, 13.03.2014