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Habilitation à diriger des recherches

Géométrie Complexe et Courbure Négative

Abstract : The main theme of this memoir is the study of (compact) Kähler manifolds with negative sectional curvature. Two very different kinds of examples are known, depending on the existence or absence of a locally symmetric metric. The locally symmetric case amounts to studying (uniform) lattices in PU(n,1), where we focus mostly on the construction of non-arithmetic examples. In the non-locally symmetric case, we present results that give estimates of the pinching of Kähler metrics on Mostow-Siu surfaces, as well as their three-dimensional analogues.
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Habilitation à diriger des recherches
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Submitted on : Friday, November 5, 2010 - 11:35:06 AM
Last modification on : Wednesday, November 4, 2020 - 2:06:51 PM
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Martin Deraux. Géométrie Complexe et Courbure Négative. Mathématiques [math]. Université Joseph-Fourier - Grenoble I, 2010. ⟨tel-00533121⟩

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