O pátém Hilbertově problému (existence struktury Lieovy grupy na lokálně euklidovské topologické grupě)
Almost -contact structures
Tensor-invariants of submanifolds
Derivations on the restricted Nijenhuis-Schouten bracket algebra
Derivations on the Nijenhuis-Schouten bracket algebra
Maximal ideals in the Lie algebra of vector fields
Conditions for integrability of a 3-form
We find necessary and sufficient conditions for the integrability of one type of multisymplectic 3-forms on a 6-dimensional manifold.
Invariants of submanifolds
Remark on involutive subspaces and regular bases
Holonomy Groups of a Fully Parallelizable Manifold
On complex structures in 8-dimensional vector bundles.
On 4-fields and 4-distributions in 8-dimensional vector bundles over 8-complexes
Let ξ be an oriented 8-dimensional spin vector bundle over an 8-complex. In this paper we give necessary and sufficient conditions for ξ to have 4 linearly independent sections or to be a sum of two 4-dimensional spin vector bundles, in terms of characteristic classes and higher order cohomology operations. On closed connected spin smooth 8-manifolds these operations can be computed.
On 2-distributions in 8-dimensional vector bundles over 8-complexes
It is shown that the -index of a 2-distribution in an 8-dimensional spin vector bundle over an 8-complex is independent of the 2-distribution. Necessary and sufficient conditions for the existence of 2-distributions in such vector bundles are given in terms of characteristic classes and a certain secondary cohomology operation. In some cases this operation is computed.
Various structures in 8-dimensional vector bundles over 8-manifolds
The paper is an overview of our results concerning the existence of various structures, especially complex and quaternionic, in 8-dimensional vector bundles over closed connected smooth 8-manifolds.
On S(2) and S(2) · S(1) structures in 8-dimensional vector bundles.
Let ξ be an oriented 8-dimensional vector bundle. We prove that the structure group SO(8) of ξ can be reduced to S(2) or S(2) · S(1) if and only if the vector bundle associated to ξ via a certain outer automorphism of the group Spin(8) has 3 linearly independent sections or contains a 3-dimensional subbundle. Necessary and sufficient conditions for the existence of an S(2)- structure in ξ over a closed connected spin manifold of dimension 8 are also given in terms of characteristic classes.
On the classification of oriented vector bundles over 5-complexes
Simultaneous integrability of an almost complex and an almost tangent structure
Losik cohomology of the Lie algebra of infinitesimal automorphisms of a -structure
Derivations on the algebra of differential forms of infinite order on a manifold
Polynomial mappings of polynomial structures with simple roots
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