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Variational integrals for elliptic complexes

Flavia Giannetti, Anna Verde (2000)

Studia Mathematica

We discuss variational integrals which are defined on differential forms associated with a given first order elliptic complex. This general framework provides us with better understanding of the concepts of convexity, even in the classical setting D ' ( n , ) D ' ( n , n ) c u r l D ' ( n , n × n )

Variations by generalized symmetries of local Noether strong currents equivalent to global canonical Noether currents

Marcella Palese (2016)

Communications in Mathematics

We will pose the inverse problem question within the Krupka variational sequence framework. In particular, the interplay of inverse problems with symmetry and invariance properties will be exploited considering that the cohomology class of the variational Lie derivative of an equivalence class of forms, closed in the variational sequence, is trivial. We will focalize on the case of symmetries of globally defined field equations which are only locally variational and prove that variations of local...

Variations of additive functions

Zoltán Buczolich, Washek Frank Pfeffer (1997)

Czechoslovak Mathematical Journal

We study the relationship between derivates and variational measures of additive functions defined on families of figures or bounded sets of finite perimeter. Our results, valid in all dimensions, include a generalization of Ward’s theorem, a necessary and sufficient condition for derivability, and full descriptive definitions of certain conditionally convergent integrals.

Variétés anti-de Sitter de dimension 3 exotiques

François Salein (2000)

Annales de l'institut Fourier

Le but de cet article est d’exposer de nouveaux exemples de structures anti-de Sitter sur des fibrés en cercles au-dessus d’une surface hyperbolique qui ne sont pas, modulo revêtement et quotient finis, des déformations de structures homogènes.

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