Properties of complete non-compact Kähler surfaces of negative Ricci curvature.
Properties of Kählerian twistor-spinors and vanishing theorems.
Pseudo-Bochner curvature tensor on Hermitian manifolds
Our main purpose of this paper is to introduce a natural generalization of the Bochner curvature tensor on a Hermitian manifold provided with the Hermitian connection. We will call the pseudo-Bochner curvature tensor. Firstly, we introduce a unique tensor P, called the (Hermitian) pseudo-curvature tensor, which has the same symmetries as the Riemannian curvature tensor on a Kähler manifold. By using P, we derive a necessary and sufficient condition for a Hermitian manifold to be of pointwise...
Pseudo-convexité locale dans les variétés kahlériennes
Soit un ouvert relativement compact et localement pseudo-convexe de la variété analytique .Alors,1) Si le fibré tangent est positif, est -convexe.2) Si admet une fonction strictement plurisousharmonique, est de Stein.3) Si est l’espace total d’un morphisme de Stein à base de Stein, est de Stein.
Pseudo-Hermitian Symmetric Spaces
QCH Kähler manifolds with κ = 0
The aim of this paper is to describe all Kähler manifolds with quasi-constant holomorphic sectional curvature with κ = 0.
Quantitative Bloch's theorem for certain classes of holomorphic mappings of the ball into Pn (C).
Quaternionic Kähler Manifolds.
Quaternionic Reduction and Quaternionic Orbifolds.
Quaternionic-Kähler manifolds and conforrmal geometry.
Real Homotopy Theory of Kähler Manifolds.
Real hypersurfaces in complex two-plane Grassmannians with certain commuting condition II
Lee, Kim and Suh (2012) gave a characterization for real hypersurfaces of Type in complex two plane Grassmannians with a commuting condition between the shape operator and the structure tensors and for in . Motivated by this geometrical notion, in this paper we consider a new commuting condition in relation to the shape operator and a new operator induced by two structure tensors and . That is, this commuting shape operator is given by . Using this condition, we prove that...
Real hypersurfaces in complex two-plane Grassmannians with certain commuting condition
In this paper, first we introduce a new notion of commuting condition that between the shape operator and the structure tensors and for real hypersurfaces in . Suprisingly, real hypersurfaces of type , that is, a tube over a totally geodesic in complex two plane Grassmannians satisfy this commuting condition. Next we consider a complete classification of Hopf hypersurfaces in satisfying the commuting condition. Finally we get a characterization of Type in terms of such commuting...
Real hypersurfaces of type in quaternionic projective space.
Real hypersurfaces with constant principal curvatures in complex hyperbolic space.
Real hypersurfaces with constant totally real sectional curvature in a complex space form
We characterize real hypersurfaces with constant holomorphic sectional curvature of a non flat complex space form as the ones which have constant totally real sectional curvature.
Réduction algébrique d'un morphisme faiblement Kählérien propre et applications.
Reduction of the codimension of a generic minimal submanifold immersed in a complex projective space
Regularization of currents and entropy
Relative K-stability of extremal metrics
We show that if a polarised manifold admits an extremal metric then it is K-polystable relative to a maximal torus of automorphisms.