4 papers
Une caractérisation des variétés complexes compactes parallélisables admettant des structures affines
Sorin Dumitrescu
We classify complex compact parallelizable manifolds which admit flat torsion free holomorphic affine connections. We exhibit complex compact manifolds admitting holomorphic affine…
Connexions affines et projectives sur les surfaces complexes compactes
Sorin Dumitrescu
We prove that holomorphic normal projective connections on compact complex surfaces are flat. We show that a holomorphic torsion-free affine connection on a compact comple…
Homogénéité locale pour les métriques riemanniennes holomorphes en dimension 3
Sorin Dumitrescu
We show that holomorphic riemannian metrics on compact complex threefolds are locally homogeneous (the pseudogroup of local isometries acts transitively on the manifold).
Dynamique du pseudo-groupe des isométries locales sur une variété Lorentzienne analytique de dimension 3
Sorin Dumitrescu
Let (M,g) be a 3-dimensional compact connected real analytic Lorentz manifold and suppose that g is locally homogeneous on a non-empty open set in M (the pseudogroup of local isome…