On 3-symmetric Riemannian spaces of solvable type
On a certain class of Riemannian homogeneous spaces
On a family of varieties not satisfying Stoka's measurability condition
On a Generalization of the Hopf Fibration, III. (Subvarieties in the C-Spaces).
On a new family of homogeneous Einstein manifolds
We show that there exists exactly one homothety class of invariant Einstein metrics on each space defined below.
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 complete lifts of reductive homogeneous spaces and generalized symmetric spaces
On differential operators of second order on Riemannian manifolds with nonpositive curvature
On discrete subgroups of Lie groups and elliptic geometric structures.
In this paper we continue the investigation of [7]-[10] concerning the actions of discrete subgroups of Lie groups on compact manifolds.
On extrinsic symmetric CR-structures on the manifolds of complete flags.
On geometry of curves of flags of constant type
We develop an algebraic version of Cartan’s method of equivalence or an analog of Tanaka prolongation for the (extrinsic) geometry of curves of flags of a vector space W with respect to the action of a subgroup G of GL(W). Under some natural assumptions on the subgroup G and on the flags, one can pass from the filtered objects to the corresponding graded objects and describe the construction of canonical bundles of moving frames for these curves in the language of pure linear algebra. The scope...
On homogeneous conformally symmetric pseudo-Riemannian manifolds
On homogeneous hypersurfaces in complex Grassmannians.
On Homogeneous Manifolds of Negative Curvature.
On local isometric immersions into complex and quaternionic projective spaces
We will prove that if an open subset of is isometrically immersed into , with , then the image is totally geodesic. We will also prove that if an open subset of isometrically immersed into , with , then the image is totally geodesic.
On Manifolds Locally Modelled on Non-Riemannian Homogeneous Spaces.
On naturally reductive left-invariant metrics of
On any real semisimple Lie group we consider a one-parameter family of left-invariant naturally reductive metrics. Their geodesic flow in terms of Killing curves, the Levi Civita connection and the main curvature properties are explicitly computed. Furthermore we present a group theoretical revisitation of a classical realization of all simply connected 3-dimensional manifolds with a transitive group of isometries due to L. Bianchi and É. Cartan. As a consequence one obtains a characterization of...
On non-parallel -structures.
On normal homogeneous Einstein manifolds
On one class of homogeneous compact Einstein manifolds.