Foundations of higher-order variational theory on Grassmann fibrations

DOI10.1142/S0219887814600238zbMath1302.58007OpenAlexW2115900754MaRDI QIDQ2925092

Zbyněk Urban, Demeter Krupka

Publication date: 20 October 2014

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219887814600238

zbMATH Keywords

invariancehomogeneitysubmanifoldjetcontact elementNoether currentLepage formGrassmann fibrationLagran-Gian

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Jets in global analysis (58A20) Group actions and symmetry properties (58D19) Global submanifolds (53C40)

Related Items (3)

The fundamental Lepage form in variational theory for submanifolds ⋮ Variational principles: Projectability onto Grassmann fibrations ⋮ On a global Lagrangian construction for ordinary variational equations on 2-manifolds

Cites Work

• Variational sequences in mechanics on Grassmann fibrations
• Geometric aspects of higher order variational principles on submanifolds
• The Noether theorems. Invariance and conservation laws in the twentieth century. Transl. from the French by Bertram E. Schwarzbach
• A geometric theory of ordinary first order variational problems in fibered manifolds. II: Invariance
• Invariants of velocities and higher-order Grassmann bundles
• The Helmholtz conditions for systems of second order homogeneous differential equations
• THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS
• Lepage forms in Kawaguchi spaces and the Hilbert form
• Lagrangian formalism on Grassmann manifolds
• Global variational theory in fibred spaces
• The Zermelo conditions and higher order homogeneous functions

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