Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds
From MaRDI portal
Publication:834774
DOI10.1007/s00208-009-0342-8zbMath1172.53048arXiv0710.4492OpenAlexW2064485540WikidataQ115388954 ScholiaQ115388954MaRDI QIDQ834774
Sorin Dumitrescu, Abdelghani Zeghib
Publication date: 27 August 2009
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0710.4492
Differential geometry of homogeneous manifolds (53C30) Other complex differential geometry (53C56) Differential invariants (local theory), geometric objects (53A55)
Related Items
On holomorphic Riemannian geometry and submanifolds of Wick-related spaces, Holomorphic G-Structures and Foliated Cartan Geometries on Compact Complex Manifolds, An Invitation to Quasihomogeneous Rigid Geometric Structures, Geodesic completeness of pseudo and holomorphic-Riemannian metrics on Lie groups, Infinite energy equivariant harmonic maps, domination, and anti-de Sitter \(3\)-manifolds, Generalized holomorphic Cartan geometries, Completeness of certain pseudo-Riemannian (locally) symmetric spaces, The complex 2-sphere in \(\mathbb{C}^3\) and Schrödinger flows, Holomorphic Riemannian metric and the fundamental group
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 3-dimensional Lorentz space-forms and Seifert fiber spaces
- Three-dimensional affine crystallographic groups
- Nonstandard Lorentz space forms
- Killing fields in compact Lorentz 3-manifolds
- Lorentz metrics on unimodular Lie groups of dimension three
- On homogeneous model spaces of compact manifolds
- Completeness of Lorentz manifolds with constant curvature
- Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds)
- Holomorphic structures modeled after hyperquadrics
- Holomorphic Anosov systems
- Variétés anti-de Sitter de dimension 3 exotiques. (Exotic 3-dimension anti-de Sitter manifolds)
- Holomorphic Riemannian metrics on compact threefolds are locally homogeneous
- Compact Clifford-Klein forms of symmetric spaces -- revisited
- Lorentzian geometry of the Heisenberg group
- Proper actions on reductive homogeneous spaces
- The extensibility of local Lie groups of transformations and groups on surfaces
- Structures géométriques holomorphes sur les variétés complexes compactes
- Characteristic forms of complex Cartan geometries
- ℋ -Space with a cosmological constant
- Lorentzian foliations on 3-manifolds
- Spaces of Complex Null Geodesics in Complex-Riemannian Geometry
- Flots d'Anosov dont les feuilletages stables sont différentiables
- Quasi-Anosov Diffeomorphisms and Hyperbolic Manifolds
- Uniruled projective manifolds with irreducible reductive G-structures.
- Déformations des structures complexes sur les espaces homogènes de SL (2, ).
- PROJECTIVE THREEFOLDS WITH HOLOMORPHIC CONFORMAL STRUCTURE
- Métriques riemanniennes holomorphes en petite dimension. (Holomorphic Riemannian metrics in small dimension)
