output
19952026
most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

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Showing 2012 · math.DGShow all

6 papers · 2 filters

math.DG2012★ 16 cited

Canonical smoothing of compact Alexandrov surfaces via Ricci flow

Thomas Richard

In this paper, we show existence and uniqueness of Ricci flow whose initial condition is a compact Alexandrov surface with curvature bounded from below. This requires a weakening o…

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★ 2 cited

A refinement of Günther's candle inequality

Benoit Kloeckner, Greg Kuperberg

We analyze an upper bound on the curvature of a Riemannian manifold, using "root-Ricci" curvature, which is in between a sectional curvature bound and a Ricci curvature bound. (A s…

math.DG2012★ 2 cited

Optimal Integral Pinching Results

Vincent Bour, Gilles Carron

In this article, we generalize the classical Bochner-Weitzenböck theorem for manifolds satisfying an integral pinching on the curvature. We obtain the vanishing of Betti numbers un…

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…

math.DG2012★ 3 cited

The Dirichlet and the weighted metrics for the space of Kahler metrics

Simone Calamai, Kai Zheng

In this work we study the intrinsic geometry of the space of Kahler metrics under various Riemannian metrics. The first part is on the Dirichlet metric. We motivate its study, we c…