Covariant second variation for first order Lagrangians on fibered manifolds I: Generalized Jacobi fields

The second variation of a (first–order) Lagrangian theory is revisited and the notion of generalized Jacobi equation is considered from a systematic and covariant viewpoint. The role and significance of various integrations by parts are pointed out. Examples of application are given in Mechanics an...

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Bibliographic Details
Main Authors: B. CASCIARO, M. FRANCAVIGLIA
Format: Article
Language:English
Published: Sapienza Università Editrice 1996-05-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1996(2)/233-264.pdf