Add to ORKGAbstract. Let (M, g) be a simply connected complete Kähler manifold with nonpositive sectional curvature. Assume that g has constant negative holo-morphic sectional curvature outside a compact set. We prove that M is then biholomorphic to the unit ball in Cn, where dimCM = n. Résumé. Soit (M, g) une variéte ́ kählérienne complète et simplement connexe à courbure sectionelle non-positive. Supposons que g ait courbure sectionelle holo-morphe constante et négative en delors d’un compact. On démontre que M est biholomorphe a ̀ une boule dans Cn, ou ̀ dimCM = n. 1
The structure of an open complete Riemannian manifold (Mn,g) with nonnegativesectional curvature has...
Manifolds with non-negative sectional curvature have been of interest since the beginning of global ...
International audienceLet $(M,\omega)$ be a compact K\"ahler manifold with negative holomorphic sect...
Let (M,g) be a simply connected complete Kahler manifold with nonpositive sectional curvature. Assum...
A class of nonpositively curved Kahler manifolds biholomorphic to the unit ball in C
We show that if a compact complex manifold admits a Kähler metric whose holomorphic sectional curvat...
Abstract. Let (Mn, g) be a compact Kähler manifold with nonpositive bisec-tional curvature. We show...
We extend to any simply connected Kähler manifold with non-positive sectional curvature some condit...
This note is an extended version of a 50 min talk given at the INdAM Meeting “Complex and Symplectic...
This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published arti...
A complex ball quotient can be smoothly compactified to be a projective algebraic manifold. It is in...
Manifolds with positive sectional curvature have been of interest since the beginning of global Riem...
20 pages. v2: removed a technical assumption in Theorem B. v3: removed another technical assumption ...
In this note we are concerned with metrics of nonnegative sectional curvature in open (i.e, complete...
The structure of an open complete Riemannian manifold (Mn,g) with nonnegativesectional curvature has...
The structure of an open complete Riemannian manifold (Mn,g) with nonnegativesectional curvature has...
Manifolds with non-negative sectional curvature have been of interest since the beginning of global ...
International audienceLet $(M,\omega)$ be a compact K\"ahler manifold with negative holomorphic sect...
Let (M,g) be a simply connected complete Kahler manifold with nonpositive sectional curvature. Assum...
A class of nonpositively curved Kahler manifolds biholomorphic to the unit ball in C
We show that if a compact complex manifold admits a Kähler metric whose holomorphic sectional curvat...
Abstract. Let (Mn, g) be a compact Kähler manifold with nonpositive bisec-tional curvature. We show...
We extend to any simply connected Kähler manifold with non-positive sectional curvature some condit...
This note is an extended version of a 50 min talk given at the INdAM Meeting “Complex and Symplectic...
This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published arti...
A complex ball quotient can be smoothly compactified to be a projective algebraic manifold. It is in...
Manifolds with positive sectional curvature have been of interest since the beginning of global Riem...
20 pages. v2: removed a technical assumption in Theorem B. v3: removed another technical assumption ...
In this note we are concerned with metrics of nonnegative sectional curvature in open (i.e, complete...
The structure of an open complete Riemannian manifold (Mn,g) with nonnegativesectional curvature has...
The structure of an open complete Riemannian manifold (Mn,g) with nonnegativesectional curvature has...
Manifolds with non-negative sectional curvature have been of interest since the beginning of global ...
International audienceLet $(M,\omega)$ be a compact K\"ahler manifold with negative holomorphic sect...