Reilly-type spinorial inequalities

by Nicolas Ginoux

Math. Z. 241 (2002), no. 3, 513-525

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Abstract: We give a new extrinsic upper bound for the smallest eigenvalues of the Dirac operator of a hypersurface. If the ambient manifold is the hyperbolic space, we show that its limiting case is achieved only for geodesic spheres.

Nicolas Ginoux, 10.03.2011