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On a generalization of Helmholtz conditions

Radka Malíková (2009)

Acta Mathematica Universitatis Ostraviensis

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 ( $n = 1$ ), and obtain a generalization of Helmholtz conditions to this case.

On a multiplicativity up to homotopy of the Gugenheim map.

Kharebava, Z. (2002)

Georgian Mathematical Journal

On an integral formula

Alois Švec (1978)

Časopis pro pěstování matematiky

On bilinear structures on differentiable manifolds

Anton Dekrét (1979)

Archivum Mathematicum

On compact solvability of differentials of an elliptic differential complex.

Kuz'minov, V.I., Shvedov, I.A. (2003)

Sibirskij Matematicheskij Zhurnal

On generalized Cauchy-Riemann equations on manifolds

Bureš, Jarolím, Souček, Vladimír (1984)

Proceedings of the 12th Winter School on Abstract Analysis

On mappings of a manifold into a Lie group

Alois Švec (1974)

Czechoslovak Mathematical Journal

On regular tangent covectors, regular differential forms, and smooth vector fields on a differential space

Grzegorz Andrzejczak (1982)

Colloquium Mathematicae

On representation of functionals of local type by differential forms

Jerzy Kijowski (1972)

Colloquium Mathematicae

On the compactness theorem for differential forms.

Kuz'minov, V. I., Shvedov, I. A. (2003)

Sibirskij Matematicheskij Zhurnal

On the complex of Sobolev spaces associated with an abstract Hilbert complex.

Glotko, N. V. (2003)

Sibirskij Matematicheskij Zhurnal

On the Darboux transformation. II.

Veronika Chrastinová (1995)

Archivum Mathematicum

Automorphisms of the family of all Sturm-Liouville equations $y^{^{''}} = q y$ are investigated. The classical Darboux transformation arises as a particular case of a general result.

On the global lifting of meromorphic forms.

M. Herrera, A. Dickenstein (1984)

Manuscripta mathematica

On the notion of potential for mappings between linear spaces. A generalized version of the Poincaré lemma

Tullio Valent (2003)

Bollettino dell'Unione Matematica Italiana

An approach to the theory of linear differential forms in a radial subset of an (arbitrary) real linear space $X$ without a Banach structure is proposed. Only intrinsic (partially linear) topologies on $X$ are (implicitly) involved in the definitions and statements. Then a mapping $F : U \subseteq X \to Y$ , with $X$ , $Y$ real linear spaces and $U$ a radial subset of $X$ , is considered. After showing a representation theorem of those bilinear forms $〈 \cdot, \cdot 〉$ on $X \times Y$ for which $〈x, y〉 = 0$ $...$

Currently displaying 1 – 20 of 21

Page 1 Next

Displaying 1 – 20 of 21

On a generalization of Helmholtz conditions

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.

On the global lifting of meromorphic forms.

On the notion of potential for mappings between linear spaces. A generalized version of the Poincaré lemma

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 $φ^{*} (g) = f$

On the Topology of Riemann Spaces of Quasi-constant Curvature

Opérateurs transversalement elliptiques et formes différentielles équivariantes

Currently displaying 1 – 20 of 21