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19972025
most citedScalar Curvature Rigidity for asymptotically locally hyperbolic manifolds

79 citations · 378 across the 29 of their papers we have counts for

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Showing 2002 · math.DGShow all

3 papers · 2 filters

math.DG2002★ 12 cited

Dirac eigenvalues for generic metrics on three-manifolds

Mattias Dahl

We show that for generic Riemannian metrics on a closed spin manifold of dimension three the Dirac operator has only simple eigenvalues.

math.DG2002★ 12 cited

Small eigenvalues of the Conformal Laplacian

Christian Baer, Mattias Dahl

We introduce a differential topological invariant for compact differentiable manifolds by counting the small eigenvalues of the Conformal Laplace operator. This invariant vanishes…

math.DG2002★ 34 cited

Surgery and the Spectrum of the Dirac Operator

Christian Baer, Mattias Dahl

We show that for generic Riemannian metrics on a simply-connected closed spin manifold of dimension at least 5 the dimension of the space of harmonic spinors is no larger than it m…