On the subanalyticity of Carnot–Caratheodory distances
On the submanifolds of the Riemannian manifolds.
On the Sum of the Hermitian Scalar Curvatures of a Compact Hermitian Manifold.
On the surface of Lorentz manifold whose normal bundles have special properties
On the Surfaces Whose Normal Bundles Have Special Properties
On the symmetry classes of the first covariant derivatives of tensor fields.
On the Symplectic Structure of Coadjoint Orbits of (Solvable) Lie Groups and Applications. I.
On the system of scale curves of a cartogram T.
On the tangency of sets in generalized metric spaces
On the tangency of sets in generalized metric spaces for certain functions of the class
On the tangent space to the universal Teichmüller space.
On the tangential velocity arising in a crystalline approximation of evolving plane curves
In a crystalline algorithm, a tangential velocity is used implicitly. In this short note, it is specified for the case of evolving plane curves, and is characterized by using the intrinsic heat equation.
On the theorem of Meusnier in Weyl spaces
On the theory of the 4-quasiplanar mappings of almost quaternionic spaces
Authors’ abstract: “4-quasiplanar mappings of almost quaternionic spaces with affine connection without torsion are investigated. Geometrically motivated definitions of these mappings are presented. Based an these definitions, fundamental forms of these mappings are found, which are equivalent to the forms of 4-quasiplanar mappings introduced a priori by I. Kurbatova [Sov. Math. 30, 100-104 (1986; Zbl 0602.53029)]”.
On the three-dimensional CR-submanifolds of the six-dimensional sphere.
On the topological charge conservation in the three-dimensional -model.
A field of three-component unit vectors on the dimensional spacetime is considered. Two field configurations with different values of the topological charge cannot be connected by the path of field configurations with a finite Euclidean action. Therefore there is no transition between them. The initial and final configurations are assumed to be continuous at infinity. The asymptotic behaviour of intermediate configurations may be arbitrary. The proof is based on the properties of the degree of...
On the topological invariance of the basic cohomology.
On the topology of a compact submanifold of a sphere with bounded second fundamental form.
On the topology of Lagrangian submanifolds examples and counter-examples.
On the topology of positively curved Bazaikin spaces
We explore some aspects of the topology of the family of 13-dimensional Bazaikin spaces. Using the computation of their homology rings, Pontryagin classes and linking forms, we show that there is only one Bazaikin space that is homotopy equivalent to a homogeneous space, i.e., the Berger space. Moreover, it is easily shown that there are only finitely many Bazaikin spaces in each homeomorphism type and that there are only finitely many positively curved ones for a given cohomology ring. In fact,...