On the transversal distribution and the complete figure in the second order multiple integral problem in the calculus of variations

DOI10.1007/BF02192667zbMath0562.49019OpenAlexW4254680595MaRDI QIDQ5902699

Izak M. Snyman

Publication date: 1984

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/137020

zbMATH Keywords

symmetry conditiongeodesic field theorysecond order multiple integral problemtransversal distributiontransversal subspaces

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Vector distributions (subbundles of the tangent bundles) (58A30)

Cites Work

• The complete figure for second order multiple integral problems in the calculus of variations
• Transversality and fields of extremals of multiple integral problems in the calculus of variations
• THE CONSTRUCTION OF THE COMPLETE FIGURE IN THE CALCULUS OF VARIATIONS OF MULTIPLE INTEGRALS: A DIRECT APPROACH
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