Correspondence between maximal ideals in associative algebras and Lie algebras
Restrictions of 3-forms in dimension 7 to subspaces of codimension 1
Characterization of one type of multisymplectic 3-forms in odd dimensions
Derived algebra of the Frölicher-Nijenhuis bracket algebra
Derivations on the Nijenhuis-Schouten bracket algebra
The cohomology of with integer coefficients
On the classification of oriented vector bundles over 9-complexes
Multisymplectic forms of degree three in dimension seven
A multisymplectic 3-structure on an -dimensional manifold is given by a closed smooth 3-form of maximal rank on which is of the same algebraic type at each point of , i.e. they belong to the same orbit under the action of the group . This means that for each point the form is isomorphic to a chosen canonical 3-form on . [Linear Multilinear Algebra 10, 183–204 (1981; Zbl 0464.15001)] and [Linear Multilinear Algebra 13, 3–39 (1983; Zbl 0515.15011)] obtained the classification of 3-forms...
O pátém Hilbertově problému (existence struktury Lieovy grupy na lokálně euklidovské topologické grupě)
Almost -contact structures
Remark on involutive subspaces and regular bases
Tensor-invariants of submanifolds
Invariants of submanifolds
Holonomy Groups of a Fully Parallelizable Manifold
Maximal ideals in the Lie algebra of vector fields
Derivations on the restricted Nijenhuis-Schouten bracket algebra
Derivations on the Nijenhuis-Schouten bracket algebra
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.
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.
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