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math.DG2010
Almost harmonic spinors
Nicolas Ginoux, Jean-François Grosjean
We show that any closed spin manifold not diffeomorphic to the two-sphere admits a sequence of volume-one-Riemannian metrics for which the smallest non-zero Dirac eigenvalue tends…
math.DG2010
Hypersurfaces with small extrinsic radius or large in Euclidean spaces
Erwann Aubry, Jean-Francois Grosjean, Julien Roth
We prove that hypersurfaces of which are almost extremal for the Reilly inequality on and have -bounded mean curvature () are Hausdorff close to a sphere…