Projective Einstein Finsler metrics.
Properties of hypersurfaces which are characteristic for spaces of constant curvature
Pseudo projectively flat manifolds satisfying certain condition on the Ricci tensor.
Pseudo-Sasakian manifolds endowed with a contact conformal connection.
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.
Quasi-Einstein hypersurfaces in semi-Riemannian space forms
We investigate curvature properties of hypersurfaces of a semi-Riemannian space form satisfying R·C = LQ(S,C), which is a curvature condition of pseudosymmetry type. We prove that under some additional assumptions the ambient space of such hypersurfaces must be semi-Euclidean and that they are quasi-Einstein Ricci-semisymmetric manifolds.
Quaternionic contact structures in dimension
The conformal infinity of a quaternionic-Kähler metric on a -manifold with boundary is a codimension distribution on the boundary called quaternionic contact. In dimensions greater than , a quaternionic contact structure is always the conformal infinity of a quaternionic-Kähler metric. On the contrary, in dimension , we prove a criterion for quaternionic contact structures to be the conformal infinity of a quaternionic-Kähler metric. This allows us to find the quaternionic-contact structures...
Quaternionic Kähler Manifolds.
Quaternionic Reduction and Quaternionic Orbifolds.
Quaternionic-Kähler geometry and almost Kähler A-manifolds
The aim of this paper is to give an easy explicit description of 3-K-contact structures on certain SO(3)-principal fibre bundles over quaternionic-Kähler manifolds.
Randers manifolds of positive constant curvature.
Rank and -nullity of contact manifolds.
Real and complex transversely symplectic Anosov flows of dimension five
Nous présentons plusieurs résultats de rigidité concernant les flots d’Anosov admettant transversalement des structures symplectiques réelles ou complexes de dimension .
Real hypersurfaces of indefinite Kähler manifolds.
Reflections with respect to submanifolds in contact geometry
We study to what extent some structure-preserving properties of the geodesic reflection with respect to a submanifold of an almost contact manifold influence the geometry of the submanifold and of the ambient space.
Regularity Theorems in Riemannian Geometry. II. Harmonic Curvature and the Weyl Tensor.
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.
Remarks on the Existence Problem of Positive Kähler-Einstein Metrics.
Ricci and scalar curvatures of submanifolds of a conformal Sasakian space form
We introduce a conformal Sasakian manifold and we find the inequality involving Ricci curvature and the squared mean curvature for semi-invariant, almost semi-invariant, -slant, invariant and anti-invariant submanifolds tangent to the Reeb vector field and the equality cases are also discussed. Also the inequality involving scalar curvature and the squared mean curvature of some submanifolds of a conformal Sasakian space form are obtained.
Ricci curvature of submanifolds in Kenmotsu space forms.