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20092026
most citedOn asymptotically harmonic manifolds of negative curvature

43 citations · 97 across the 8 of their papers we have counts for

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Showing 2012Show all

3 papers · 1 filter

math.DG2012★ 1 cited

Remarks on J. Espinar's "Finite index operators on surfaces"

Pierre Bérard, Philippe Castillon

In this paper, we make some remarks on José Espinar's paper "Finite index operators on surfaces" [\texttt{arXiv:0911.3767}, to appear in Journal of Geometric Analysis (2011)].

math.DG2012★ 43 cited

On asymptotically harmonic manifolds of negative curvature

Philippe Castillon, Andrea Sambusetti

We study asymptotically harmonic manifolds of negative curvature, without any cocompactness or homogeneity assumption. We show that asymptotic harmonicity provides a lot of informa…

math.DG2012★ 4 cited

Spectral positivity and Riemannian coverings

Pierre Bérard, Philippe Castillon

Let be a complete non-compact Riemannian manifold. We consider operators of the form , where is the non-negative Laplacian associated with the metric , an…