Locally homogeneous geometric manifolds

zbMath1234.57001arXiv1003.2759MaRDI QIDQ3096621

William M. Goldman

Publication date: 11 November 2011

Full work available at URL: https://arxiv.org/abs/1003.2759

zbMATH Keywords

Riemannian metricTeichmüller spaceLie groupdevelopmentcompletenesscurvaturefundamental groupuniformizationholonomygeodesicmapping class groupRiemann surfacehomogeneous spacedeformation spacefiber bundlesymplectic structurehyperbolic structureproper actionconnectionprojective structureconformal structurediscrete groupergodic actionaffine structurespherical CR structurecrystallographic groupFricke spacecomplex hyperbolic structureThurston geometrization of 3-manifolds

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Geometric structures on manifolds of high or arbitrary dimension (57N16) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02)

Related Items (18)

Left-invariant CR structures on 3-dimensional Lie groups ⋮ Chern's conjecture for special affine manifolds ⋮ Holomorphic Cartan geometries and rational curves ⋮ A \(3\)-manifold with no real projective structure ⋮ Smooth manifolds with infinite fundamental group admitting no real projective structure ⋮ Manifolds without real projective or flat conformal structures ⋮ On the Teichmüller stack of compact quotients of \(\mathrm{SL}_2 (\mathbb{C})\) ⋮ Poles of cubic differentials and ends of convex \(\mathbb{RP}^2\)-surfaces ⋮ The Heisenberg plane ⋮ Holomorphic Cartan geometries on uniruled surfaces ⋮ Frobenius-Ehresmann structures and Cartan geometries in positive characteristic ⋮ Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective ⋮ Rank 1 character varieties of finitely presented groups ⋮ Holomorphic geometric structures on Kähler-Einstein manifolds ⋮ Completeness of certain pseudo-Riemannian (locally) symmetric spaces ⋮ Symmetries of holomorphic geometric structures on tori ⋮ Compact quotients of Cahen-Wallach spaces ⋮ An obstruction to the existence of real projective structures

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