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math.DG2003
Remarks on the spectrum of the Dirac operator
Nicolas Ginoux
We describe a new family of examples of hypersurfaces in the sphere satisfying the limiting-case in C. Bär's extrinsic upper bound for the smallest eigenvalue of the Dirac operator…
math.DG2003
A new extrinsic estimate for the spectrum of the Dirac operator
Nicolas Ginoux
We prove a new upper bound for the smallest eigenvalues of the Dirac operator on a compact hypersurface of the hyperbolic space.