Reilly-type spinorial inequalities

Autoren: Nicolas Ginoux (2002)

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.

Zeitschrift:
Math. Z.
Verlag:
Springer
Seiten:
513-525
Band:
241, no. 3

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