Variational Principles for Immersed Submanifolds

DOI10.2991/978-94-6239-109-3_4zbMath1337.49079OpenAlexW2269834619MaRDI QIDQ2806303

Zbyněk Urban

Publication date: 17 May 2016

Published in: The Inverse Problem of the Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/978-94-6239-109-3_4

zbMATH Keywords

immersed submanifoldshigher-order integral variational functionals

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (2)

Variational submanifolds of Euclidean spaces ⋮ Variational principles: Projectability onto Grassmann fibrations

Cites Work

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• A setting for higher order differential equation fields and higher order Lagrange and Finsler spaces
• Homogeneity and projective equivalence of differential equation fields
• 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
• Variational sequences in mechanics
• Invariants of velocities and higher-order Grassmann bundles
• Hilbert forms for a Finsler metrizable projective class of sprays
• Noether equations and conservation laws
• The Helmholtz conditions for systems of second order homogeneous differential equations
• Homogeneous variational problems: a minicourse
• THE CARTAN FORM AND ITS GENERALIZATIONS IN THE CALCULUS OF VARIATIONS
• Lepage forms in Kawaguchi spaces and the Hilbert form
• Homogeneous differential equations and the inverse problem of the calculus of variations
• Lagrangian formalism on Grassmann manifolds
• The Zermelo conditions and higher order homogeneous functions

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