A new variational characterization of Jacobi fields along geodesics

DOI10.1007/BF01782613zbMath0936.53029MaRDI QIDQ1817908

Biagio Casciaro, Mauro Francaviglia

Publication date: 4 January 2000

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

Jacobi fieldscomplete lift

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22)

Related Items (6)

The geometry of systems of third-order differential equations induced by second-order regular Lagrangians ⋮ \(L^{2}\)-discretization error bounds for maps into Riemannian manifolds ⋮ A COMPLETE LIFT FOR SEMISPRAYS ⋮ Generalized Jacobi equations and the curvature of variational principles ⋮ The Hessian and Jacobi morphisms for higher order calculus of variations ⋮ Relations between variational derivatives of functions and scalar densities

Cites Work

• Prolongations of tensor fields and connections to tangent bundles. I: General theory
• Riemannian geometry
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