Holomorphic Riemannian metrics on compact threefolds are locally homogeneous

DOI10.5802/aif.2275zbMath1128.53045OpenAlexW1796568181MaRDI QIDQ2372813

Sorin Dumitrescu

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2007__57_3_739_0

zbMATH Keywords

3-foldlocally homogeneousholomorphic Riemannian metriccomplex 3-manifold

Mathematics Subject Classification ID

Other complex differential geometry (53C56) Methods of local Riemannian geometry (53B21)

Related Items (9)

Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds ⋮ Holomorphic G-Structures and Foliated Cartan Geometries on Compact Complex Manifolds ⋮ An Invitation to Quasihomogeneous Rigid Geometric Structures ⋮ Fujiki class 𝒞 and holomorphic geometric structures ⋮ A Bochner principle and its applications to Fujiki class 𝒞 manifolds with vanishing first Chern class ⋮ Generalized holomorphic Cartan geometries ⋮ Holomorphic \(\operatorname{GL}_2(\mathbb{C})\)-geometry on compact complex manifolds ⋮ An embedding theorem for automorphism groups of Cartan geometries ⋮ Holomorphic Riemannian metric and the fundamental group

Cites Work

• Vector fields of a finite type G-structure
• On local and global existence of Killing vector-fields
• Geometric structures on compact complex analytic surfaces
• On compact analytic threefolds with non-trivial Albanese tori
• Killing fields in compact Lorentz 3-manifolds
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Curvatures of left invariant metrics on Lie groups
• Geodesic foliations in Lorentz 3-manifolds
• On holomorphic forms on compact complex threefolds
• Affine structures on compact complex manifolds
• Null-geodesics in complex conformal manifolds and the LeBrun correspondence
• Structures géométriques holomorphes sur les variétés complexes compactes
• Spaces of Complex Null Geodesics in Complex-Riemannian Geometry
• Uniruled projective manifolds with irreducible reductive G-structures.
• Déformations des structures complexes sur les espaces homogènes de SL (2, ).
• Infinitesimally homogeneous spaces
• Lectures on Curves on an Algebraic Surface. (AM-59)
• Complex Parallisable Manifolds
• Métriques riemanniennes holomorphes en petite dimension. (Holomorphic Riemannian metrics in small dimension)
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Holomorphic Riemannian metrics on compact threefolds are locally homogeneous