49 citations · 430 across the 45 of their papers we have counts for
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math.DG2004★ 14 cited
The first conformal Dirac eigenvalue on 2-dimensional tori
Bernd Ammann, Emmanuel Humbert
Let M be a compact manifold with a spin structure χand a Riemannian metric g. Let λ_g^2 be the smallest eigenvalue of the square of the Dirac operator with respect to g and χ. The…
math.DG2004★ 7 cited
Manifolds with small Dirac eigenvalues are nilmanifolds
Bernd Ammann, Chad Sprouse
Consider the class of n-dimensional Riemannian spin manifolds with bounded sectional curvatures and diameter, and almost non-negative scalar curvature. Let r=1 if n=2,3 and r=2^{[n…
math.AP2004★ 26 cited
Sobolev spaces on Lie manifolds and regularity for polyhedral domains
Bernd Ammann, Alexandru D. Ionescu, Victor Nistor
We study some basic analytic questions related to differential operators on Lie manifolds, which are manifolds whose large scale geometry can be described by a a Lie algebra of vec…