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Subjects
58-XX Global analysis, analysis on manifolds
58Axx General theory of differentiable manifolds
58A15 Exterior differential systems (Cartan theory)

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Displaying 1 – 8 of 8

A convex Darboux theorem

Pierre-André Chiappori, Ivar Ekeland (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

A generalization of the exterior product of differential forms combining Hom-valued forms

Christian Gross (1997)

Commentationes Mathematicae Universitatis Carolinae

This article deals with vector valued differential forms on $C^{\infty}$ -manifolds. As a generalization of the exterior product, we introduce an operator that combines $Hom (⨂^{s} (W), Z)$ -valued forms with $Hom (⨂^{s} (V), W)$ -valued forms. We discuss the main properties of this operator such as (multi)linearity, associativity and its behavior under pullbacks, push-outs, exterior differentiation of forms, etc. Finally we present applications for Lie groups and fiber bundles.

A map associated to the Lepagian forms on the calculus of variations in fibred manifolds

Demeter Krupka (1977)

Czechoslovak Mathematical Journal

A remark on linear functions on the sphere

Josef Janyška (1981)

Archivum Mathematicum

Abstract exterior differential

Roman Sikorski (1972)

Colloquium Mathematicae

Affine differential invariants for planar curves.

Nadjafikhah, Mehdi (2002)

Balkan Journal of Geometry and its Applications (BJGA)

An inverse problem in the economic theory of demand

Ivar Ekeland, Ngalla Djitté (2006)

Annales de l'I.H.P. Analyse non linéaire

Automorphism Groups of Classical Mechanical Systems.

Ottmar Loos (1985)

Monatshefte für Mathematik

Currently displaying 1 – 8 of 8

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