Characterization of higher-order tangent bundles.
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...
Classes caractéristiques isotropes.
Classicfication Locale Simultanée de Deux Formes Symplectiques Compatibles.
Classification of (1,1) tensor fields and bihamiltonian structures
Consider a (1,1) tensor field J, defined on a real or complex m-dimensional manifold M, whose Nijenhuis torsion vanishes. Suppose that for each point p ∈ M there exist functions , defined around p, such that and , j = 1,...,m. Then there exists a dense open set such that we can find coordinates, around each of its points, on which J is written with affine coefficients. This result is obtained by associating to J a bihamiltonian structure on T*M.
Classification of compact complex homogeneous spaces with invariant volumes.
Classification of compact homogeneous spaces with invariant symplectic structures.
Classification of overtwisted contact structures on 3-manifolds.
Closed forms on symplectic fibre bundles.
Closed similarity manifolds.
Cohomology of Symplectomorphism Groups and Critical Values of Hamiltonians.
Coisotropic varieties and their generating families
Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms
In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified. Furthermore, it is proved that the only three dimensional real hypersurfaces in non-flat complex space forms, whose k-th Cho operator with respect to any vector field X orthogonal to structure vector field commutes with the structure Jacobi operator, are the ruled ones. Finally, results...
Compact and small rank perturbations of conformally symplectic structures
Compact cosymplectic manifolds of positive constant phi-sectional curvature.
Compact manifolds with exceptional holonomy.
Compact space-like hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces
A new class of -dimensional Lorentz spaces of index is introduced which satisfies some geometric conditions and can be regarded as a generalization of Lorentz space form. Then, the compact space-like hypersurface with constant scalar curvature of this spaces is investigated and a gap theorem for the hypersurface is obtained.
Compact symplectic four solvmanifolds without polarizations
Compact symplectic four-dimensional manifolds not admitting polarizations
Compactifications kähleriennes de voisinages ouverts de cycles géométriquement positifs