Sorin Dumitrescu
Research Subjects
Sorin Dumitrescu has a total of 2 co-authors. Here are the top co-authors by number of shared publications:
- Abdelghani Zeghib
Ecole Normale Supérieure de Lyon
3 shared publications Abdelghani Zeghib
CNRS, UMPA, École Normale Supérieure de Lyon
1 shared publication
Latest Publications
- 5 March 2010
- Published by Springer Nature in Geometriae Dedicata
- Vol. 149 (1) , 243-273
Géométries Lorentziennes de dimension 3 : classification et complétude
- 5 March 2010
- Published by Springer Nature in Geometriae Dedicata
- Vol. 149 (1) , 243-273
Géométries Lorentziennes de dimension 3 : classification et complétude
- Open Access
Locally homogeneous rigid geometric structures on surfaces
We study locally homogeneous rigid geometric structures on surfaces. We show that a locally homogeneous projective connection on a compact surface is flat. We also show that a locally homogeneous unimodular affine connection on a two dimensional torus is complete and, up to a finite cover, homogeneous. Let $\nabla$ be a unimodular real analytic affine connection on a real analytic compact connected surface $M$. If $\nabla$ is locally homogeneous on a nontrivial open set in $M$, we prove that $\nabla$ is locally homogeneous on all of $M$.Open AccessLocally homogeneous rigid geometric structures on surfaces
We study locally homogeneous rigid geometric structures on surfaces. We show that a locally homogeneous projective connection on a compact surface is flat. We also show that a locally homogeneous unimodular affine connection on a two dimensional torus is complete and, up to a finite cover, homogeneous. Let $\nabla$ be a unimodular real analytic affine connection on a real analytic compact connected surface $M$. If $\nabla$ is locally homogeneous on a nontrivial open set in $M$, we prove that $\nabla$ is locally homogeneous on all of $M$. - 1 July 2009
- Published by Springer Nature in Monatshefte für Mathematik
- Vol. 161 (2) , 145-154
Killing fields of holomorphic Cartan geometries
- 1 July 2009
- Published by Springer Nature in Monatshefte für Mathematik
- Vol. 161 (2) , 145-154
Killing fields of holomorphic Cartan geometries
- 11 March 2009
- Published by Springer Nature in Mathematische Annalen
- Vol. 345 (1) , 53-81
Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds
- 11 March 2009
- Published by Springer Nature in Mathematische Annalen
- Vol. 345 (1) , 53-81
Global rigidity of holomorphic Riemannian metrics on compact complex 3-manifolds
- Open Access
Killing Fields of Holomorphic Cartan Geometries
We study local automorphisms of holomorphic Cartan geometries. This leads to classification results for compact complex manifolds admitting Cartan geometries. We prove that a compact Calabi-Yau manifold bearing a holomorphic Cartan geometry of algebraic type admits a finite unramified cover which is a complex torus.
Open AccessKilling Fields of Holomorphic Cartan Geometries
We study local automorphisms of holomorphic Cartan geometries. This leads to classification results for compact complex manifolds admitting Cartan geometries. We prove that a compact Calabi-Yau manifold bearing a holomorphic Cartan geometry of algebraic type admits a finite unramified cover which is a complex torus.
- 8 January 2009
- Published by Springer Nature in Mathematische Zeitschrift
- Vol. 264 (2) , 301-316
Connexions affines et projectives sur les surfaces complexes compactes
- 8 January 2009
- Published by Springer Nature in Mathematische Zeitschrift
- Vol. 264 (2) , 301-316
Connexions affines et projectives sur les surfaces complexes compactes
- 1 August 2008
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 28 (4) , 1091-1116
Dynamique du pseudo-groupe des isométries locales sur une variété Lorentzienne analytique de dimension 3
Soit (M,g) une variété lorentzienne analytique réelle de dimension 3 compacte et connexe. Nous démontrons que l’existence d’une orbite ouverte (non vide) du pseudo-groupe des isométries locales implique que la métrique lorentzienne est localement homogène (i.e. le pseudo-groupe des isométries locales de g agit transitivement sur M).
- 1 August 2008
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 28 (4) , 1091-1116
Dynamique du pseudo-groupe des isométries locales sur une variété Lorentzienne analytique de dimension 3
Soit (M,g) une variété lorentzienne analytique réelle de dimension 3 compacte et connexe. Nous démontrons que l’existence d’une orbite ouverte (non vide) du pseudo-groupe des isométries locales implique que la métrique lorentzienne est localement homogène (i.e. le pseudo-groupe des isométries locales de g agit transitivement sur M).
- Open Access
Meromorphic almost rigid geometric structures
We study the local Killing Lie algebra of meromorphic almost rigid geometric structures on complex manifolds. This leads to classification results for compact complex manifolds bearing holomorphic rigid geometric structures.
Open AccessMeromorphic almost rigid geometric structures
We study the local Killing Lie algebra of meromorphic almost rigid geometric structures on complex manifolds. This leads to classification results for compact complex manifolds bearing holomorphic rigid geometric structures.
- Open Access
Connexions affines et projectives sur les surfaces complexes compactes
We prove that holomorphic normal projective connections on compact complex surfaces are flat. We show that a holomorphic torsion-free affine connection $\nabla$ on a compact complex surface is locally modelled on a translations-invariant affine connection on $\C^2$, except if $\nabla$ is a generic connection on a principal elliptic bundle over a Riemann surface of genus $g \geq 2$, with odd first Betti number. In the last case, the local Killing Lie algebra is of dimension one, generated by the fundamental vector field of the principal fibration.Open AccessConnexions affines et projectives sur les surfaces complexes compactes
We prove that holomorphic normal projective connections on compact complex surfaces are flat. We show that a holomorphic torsion-free affine connection $\nabla$ on a compact complex surface is locally modelled on a translations-invariant affine connection on $\C^2$, except if $\nabla$ is a generic connection on a principal elliptic bundle over a Riemann surface of genus $g \geq 2$, with odd first Betti number. In the last case, the local Killing Lie algebra is of dimension one, generated by the fundamental vector field of the principal fibration. - Open Access
Dynamique du pseudo-groupe des isométries locales sur une variété Lorentzienne analytique de dimension 3
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 isometries of g has an open orbit). Then we prove that g is locally homogeneous on M (the pseudogroup of local isometries is transitive on M).
Open AccessDynamique du pseudo-groupe des isométries locales sur une variété Lorentzienne analytique de dimension 3
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 isometries of g has an open orbit). Then we prove that g is locally homogeneous on M (the pseudogroup of local isometries is transitive on M).