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.
Deformation of Kähler matrics to Kähler-Eisenstein metrics on compact Kähler manifolds.
Deformation of Varieties Defined by Sections in Homogeneous Vector Bundles.
Deformation theory, generic vanishing theorems, and some conjectures of Enriques, Catanese and Beauville.
Déformations infinitésimales des espaces riemanniens localement symétriques. II : la conjecture infinitésimale de Blaschke pour les espaces projectifs complexes
Nous démontrons que toute 2-forme symétrique sur un espace projectif complexe de dimension , muni de sa métrique canonique , qui est d’intégrale nulle sur les géodésiques de , est une dérivée de Lie de la métrique .
Differential geometry of indefinite complex submanifolds in indefinite complex space forms.
Differential Geometry of Real Submanifolds in a Kähler Manifold.
Distortions of a bounded domain by holomorphic mappings.
Eine Kennzeichnung der projektiven Unterräume in dem komplexen projektiven Raum nach ihren Geodätischen.
Einstein Complete Intersections in Complex Projektive Space.
Einstein Kähler Submanifolds with Codimension 2 in a Complex Space Form.
Einstein Metrics and Complex Structures.
Einstein metrics and stability for flat connections on compact Hermitian manifolds, and a correspondence with Higgs operators in the surface case.
Einstein-Hermitian connections on principal bundles and stability.
Einstein-Kähler V-Metrics on Open Satake V-Surfaces with Isolated Quotient Singularities.
El polinomio de Poincaré-Hodge de un producto simétrico de variedades kählerianas compactas.
In this paper we compute the Poincaré-Hodge polynomial of a symmetric product of a compact kähler manifold, following the method used by Macdonald, in the topological case, to compute the Poincaré polynomial of a compact polyhedron, and we give some applications, in particular to the case of curves.