The relation between the Jacobi morphism and the Hessian in gauge-natural field theories

DOI10.1007/s11232-007-0102-4zbMath1186.70020OpenAlexW2001415758MaRDI QIDQ2461099

Marcella Palese, Ekkehart Winterroth

Publication date: 21 November 2007

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-007-0102-4

zbMATH Keywords

jetgauge-natural bundlegeneralized Jacobi morphismsecond variational derivative

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (8)

Variational sequences, representation sequences and applications in physics ⋮ Topological obstructions in Lagrangian field theories, with an application to 3D Chern–Simons gauge theory ⋮ GAUGE-NATURAL NOETHER CURRENTS AND CONNECTION FIELDS ⋮ Unnamed Item ⋮ Lagrangian reductive structures on gauge-natural bundles ⋮ Symmetry transformations of extremals and higher conserved quantities: Invariant Yang–Mills connections ⋮ Higgs fields induced by Yang–Mills type Lagrangians on gauge-natural prolongations of principal bundles ⋮ CANONICAL CONNECTIONS IN GAUGE-NATURAL FIELD THEORIES

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