On classical -matrices with parabolic carrier.
On Clifford-type structures [Book]
On closed concircular almost contact Riemannian manifolds.
On closed timelike distributions
On Codimension-one Foliations of Constant Mean Curvature.
On compact astheno-Kähler manifolds
We prove that every compact balanced astheno-Kähler manifold is Kähler, and that there exists an astheno-Kähler structure on the product of certain compact normal almost contact metric manifolds.
On compact holomorphically pseudosymmetric Kählerian manifolds
For compact Kählerian manifolds, the holomorphic pseudosymmetry reduces to the local symmetry if additionally the scalar curvature is constant and the structure function is non-negative. Similarly, the holomorphic Ricci-pseudosymmetry reduces to the Ricci-symmetry under these additional assumptions. We construct examples of non-compact essentially holomorphically pseudosymmetric Kählerian manifolds. These examples show that the compactness assumption cannot be omitted in the above stated theorem....
On compact homogeneous symplectic manifolds
In this paper the authors study compact homogeneous spaces (of a Lie group ) on which there if defined a -invariant symplectic form . It is an important feature of the paper that very little is assumed concerning and . The essential assumptions are: (1) is connected and (2) is uniform (i.e., is compact). Further, for convenience only and with no loss of generality, it is supposed that is simply connected and contains no connected normal subgroup of , i.e., that acts almost effectively...
On compact Kähler surfaces
Without relying on the classification of compact complex surfaces, it is proved that every such surface with even first Betti number admits a Kähler metric and that a real form of the classical Nakai-Moishezon criterion holds on the surface.
On compact locally conformal Kaehler manifolds with non-negative sectional curvature
On compact non-Kählerian manfolds admitting an almost Kähler structure
On Compact Riemannian Manifolds with Harmonie Curvature.
On compact solvability of differentials of an elliptic differential complex.
On compact symplectic and Kählerian solvmanifolds which are not completely solvable
We are interested in the problem of describing compact solvmanifolds admitting symplectic and Kählerian structures. This was first considered in [3, 4] and [7]. These papers used the Hattori theorem concerning the cohomology of solvmanifolds hence the results obtained covered only the completely solvable case}. Our results do not use the assumption of complete solvability. We apply our methods to construct a new example of a compact symplectic non-Kählerian solvmanifold.
On compatible linear connections of two-dimensional generalized Berwald manifolds: a classical approach
In the paper we characterize the two-dimensional generalized Berwald manifolds in terms of the classical setting of Finsler surfaces (Berwald frame, main scalar etc.). As an application we prove that if a Landsberg surface is a generalized Berwald manifold then it must be a Berwald manifold. Especially, we reproduce Wagner's original result in honor of the 75th anniversary of publishing his pioneering work about generalized Berwald manifolds.
On complete hypersurfaces with two distinct principal curvatures in a hyperbolic space.
On complete lifts of reductive homogeneous spaces and generalized symmetric spaces
On complete linear Weingarten hypersurfaces in locally symmetric Riemannian manifolds
Our aim is to apply suitable generalized maximum principles in order to obtain characterization results concerning complete linear Weingarten hypersurfaces immersed in a locally symmetric Riemannian manifold, whose sectional curvature is supposed to obey standard constraints. In this setting, we establish sufficient conditions to guarantee that such a hypersurface must be either totally umbilical or an isoparametric hypersurface with two distinct principal curvatures one of which is simple.
On complete minimal surfaces with finite Morse index in three manifolds.
On complete spacelike hypersurfaces with in locally symmetric Lorentz spaces
In this note, we investigate -dimensional spacelike hypersurfaces with in locally symmetric Lorentz space. Two rigidity theorems are obtained for these spacelike hypersurfaces.