Construction of Kähler surfaces with constant scalar curvature
Convergence of Bergman geodesics on
The space of Kähler metrics in a fixed Kähler class on a projective Kähler manifold is an infinite dimensional symmetric space whose geodesics are solutions of a homogeneous complex Monge-Ampère equation in , where is an annulus. Phong-Sturm have proven that the Monge-Ampère geodesic of Kähler potentials of may be approximated in a weak sense by geodesics of the finite dimensional symmetric space of Bergman metrics of height . In this article we prove that in in the case of...
Convexity on the space of Kähler metrics
These are the lecture notes of a minicourse given at a winter school in Marseille 2011. The aim of the course was to give an introduction to recent work on the geometry of the space of Kähler metrics associated to an ample line bundle. The emphasis of the course was the role of convexity, both as a motivating example and as a tool.
Coréduction algébrique d'un espace analytique faiblement Kählérien compact.
Correction to "C*-actions".
Correction to: Spectral Geometry and the Kaehler Condition for Complex Manifolds.
Correction to the paper "Distortions of a bounded domain by holomorphic mappings".
CR structures on real hypersurfaces of a complex projective space.
CR submanifolds of maximal CR dimension in complex projective space and its holomorphic sectional curvature
CR-hypersurfaces of complex projective space.
CR-products of S-manifolds
CR-submanifolds of Kählerian product manifolds.
CR-submanifolds of locally conformal Kaehler manifolds and Riemannian submersions
We consider a Riemannian submersion π: M → N, where M is a CR-submanifold of a locally conformal Kaehler manifold L with the Lee form ω which is strongly non-Kaehler and N is an almost Hermitian manifold. First, we study some geometric structures of N and the relation between the holomorphic sectional curvatures of L and N. Next, we consider the leaves M of the foliation given by ω = 0 and give a necessary and sufficient condition for M to be a Sasakian manifold.
Curvature and holomorphic mappings of complete Kähler manifolds
Curvature surfaces of Hopf Hypersurfaces in complex space forms.
Cyclic properties of the harmonic sequence of surface in CPn.