Applications of the Kähler-Einstein-Calabi-Yau Metric to Moduli of K3 Surfaces.
Astheno-Kähler structures on Calabi-Eckmann manifolds
We show that there exist astheno-Kähler structures on Calabi-Eckmann manifolds.
Asymptotics of complete Kähler-Einstein metrics – negativity of the holomorphic sectional curvature.
Automorphiesummanden und Cousin-I-Probleme auf Faserräumen.
Automorphisms of certain Stein mainfolds.
Ball models in Hermitian spaces.
Bilinear forms and extremal Kähler vector fields associated with Kähler classes.
Bochner flat Kahlerian manifolds.
Bounds on the Dimension of L2-Holomorphic Sections of Vector Bundles over Complete Kähler Manifolds of Finite Volume.
-hypersurfaces of the six-dimensional sphere.
C*-actions.
C*-actions on Grassmann bundles and the cycle at infinity.
Calcul du tenseur de Ricci d’une particulière plongée dans pour la métrique induite par la métrique canonique
Certain sufficient conditions to be a complex projective space
Characterizations of complex space forms by means of geodesic spheres and tubes
We prove that a connected complex space form (,g,J) with n ≥ 4 can be characterized by the Ricci-semi-symmetry condition and by the semi-parallel condition , considering special choices of tangent vectors to small geodesic spheres or geodesic tubes (that is, tubes about geodesics), where , and denote the Riemann curvature tensor, the corresponding Ricci tensor of type (0,2) and the second fundamental form of the spheres or tubes and where acts as a derivation.
Chen-Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds
Some examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant curvature are obtained. Chen-Ricci inequalities involving the Ricci tensor and the squared mean curvature for submanifolds of locally product manifolds of almost...
Chen's inequality in the Lagrangian case
In the theory of submanifolds, the following problem is fundamental: establish simple relationships between the main intrinsic invariants and the main extrinsic invariants of submanifolds. The basic relationships discovered until now are inequalities. To analyze such problems, we follow the idea of C. Udrişte that the method of constrained extremum is a natural way to prove geometric inequalities. We improve Chen's inequality which characterizes a totally real submanifold of a complex space form....
Chern classes and Bochner-Kaehler metrics
Chern forms and the Riemann tensor for the moduli space ofcurves.
Chernklassen von Hermite-Einstein-Vektorbündeln.