Norm comparison inequalities for the composite operator.
On a generalization of Helmholtz conditions
Helmholtz conditions in the calculus of variations are necessary and sufficient conditions for a system of differential equations to be variational ‘as it stands’. It is known that this property geometrically means that the dynamical form representing the equations can be completed to a closed form. We study an analogous property for differential forms of degree 3, so-called Helmholtz-type forms in mechanics (), and obtain a generalization of Helmholtz conditions to this case.
On a multiplicativity up to homotopy of the Gugenheim map.
On an integral formula
On bilinear structures on differentiable manifolds
On compact solvability of differentials of an elliptic differential complex.
On generalized Cauchy-Riemann equations on manifolds
On mappings of a manifold into a Lie group
On regular tangent covectors, regular differential forms, and smooth vector fields on a differential space
On representation of functionals of local type by differential forms
On the compactness theorem for differential forms.
On the complex of Sobolev spaces associated with an abstract Hilbert complex.
On the Darboux transformation. II.
Automorphisms of the family of all Sturm-Liouville equations are investigated. The classical Darboux transformation arises as a particular case of a general result.
On the global lifting of meromorphic forms.
On the notion of potential for mappings between linear spaces. A generalized version of the Poincaré lemma
An approach to the theory of linear differential forms in a radial subset of an (arbitrary) real linear space without a Banach structure is proposed. Only intrinsic (partially linear) topologies on are (implicitly) involved in the definitions and statements. Then a mapping , with , real linear spaces and a radial subset of , is considered. After showing a representation theorem of those bilinear forms on for which
On the Novikov complex for rational Morse forms
On the operator of exterior derivation on the Riemannian manifolds with cylindrical ends.
On the Polynomial Cohomology of Affine Manifolds.
On the pullback equation
On the Topology of Riemann Spaces of Quasi-constant Curvature