Generalized Jacobi equations and the curvature of variational principles

DOI10.1016/S0362-546X(97)00042-4zbMath0912.70014MaRDI QIDQ4378499

Mauro Francaviglia, Biagio Casciaro

Publication date: 25 May 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Euler-Lagrange equationssecond variationLagrangianfirst-order deformationfiber manifoldscurvature tensorsgeneralized Bianchi identitiessecond-order deformationgeneralized harmonic Lagrangiansecond-order variational principles

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Other variational principles in mechanics (70H30) Variational principles of physics (49S05)

Related Items (2)

Generalized Bianchi identities in gauge-natural field theories and the curvature of variational principles ⋮ Jacobi equations using a variational principle

Cites Work

• A new variational characterization of Jacobi fields along geodesics
• Riemannian geometry
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