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- Centre National de la Recherche ScientifiqueFR376 papers
- Université Grenoble AlpesFR309 papers
- Université Joseph FourierFR201 papers
- Laboratoire de Mathématiques d'OrsayFR42 papers
- Pôle de recherche et d'enseignement supérieur Université de GrenobleFR37 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR31 papers
- Laboratoire de Mathématiques Jean LerayFR25 papers
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- Université Toulouse III - Paul SabatierFR17 papers
92 papers · 1 filter
Infinite graphs satisfying the Bakry-Emery curvature condition CD(0, n): The modified heat equation and applications to geometric analysis
Emmanuel Russ, Hervé Pajot
Let G = (V, p, ) be a (finite or infinite) weighted graph with bounded geometry. Assuming that G satisfies the classical curvaturedimension condition of Bakry-Emery CD(K, n) wit…
Uniqueness and non-uniqueness for the asymptotic Plateau problem in hyperbolic space
Zheng Huang, Ben Lowe, Andrea Seppi
We prove several results on the number of solutions to the asymptotic Plateau problem in . Firstly we discuss criteria that ensure uniqueness. Given a Jordan curve …
Rigidity of flat holonomies
Gérard Besson, Gilles Courtois, Sa'ar Hersonsky
We prove that the existence of one horosphere in the universal cover of a closed, strictly quarter pinched, negatively curved Riemannian manifold of dimension on which th…
cohomology and Hodge decomposition for ALE manifolds
Baptiste Devyver, Klaus Kroencke
We relate the dimensions of reduced cohomology spaces in degree k of an ALE manifold to the dimension of some spaces of decaying harmonic forms, depending both on p and on k.…
Failure of curvature-dimension conditions on sub-Riemannian manifolds via tangent isometries
Luca Rizzi, Giorgio Stefani
We prove that, on any sub-Riemannian manifold endowed with a positive smooth measure, the Bakry-Émery inequality for the corresponding sub-Laplacian implies the existence of enough…
Spectral asymptotics for sub-Riemannian Laplacians
Yves Colin de Verdìère, Luc Hillairet, Emmanuel Trélat
We study spectral properties of sub-Riemannian Laplacians, which are hypoelliptic operators. The main objective is to obtain quantum ergodicity results, what we have achieved in th…