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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 2009 · math.DGShow all

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math.DG2009

An isoperimetric constant associated to horizons in blown-up at two points

Mattias Dahl, Emmanuel Humbert

Let be a metric on with positive Yamabe constant. When blowing up at two points, a scalar flat manifold with two asymptotically flat ends is produced and this manifol…

math.DG2009★ 10 cited

Harmonic spinors and local deformations of the metric

Bernd Ammann, Mattias Dahl, Emmanuel Humbert

Let (M,g) be a compact Riemannian spin manifold. The Atiyah-Singer index theorem yields a lower bound for the dimension of the kernel of the Dirac operator. We prove that this boun…