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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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
1996-05-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
| Subjects: | |
| Online Access: | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1996(2)/233-264.pdf |
| _version_ | 1797821692402204672 |
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| author | B. CASCIARO M. FRANCAVIGLIA |
| author_facet | B. CASCIARO M. FRANCAVIGLIA |
| author_sort | B. CASCIARO |
| collection | DOAJ |
| description | 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 and in the theory of generalized harmonic Lagrangians. |
| first_indexed | 2024-03-13T09:57:33Z |
| format | Article |
| id | doaj.art-4f9b6ae11835408b884183ebcb8e7c06 |
| institution | Directory Open Access Journal |
| issn | 1120-7183 2532-3350 |
| language | English |
| last_indexed | 2024-03-13T09:57:33Z |
| publishDate | 1996-05-01 |
| publisher | Sapienza Università Editrice |
| record_format | Article |
| series | Rendiconti di Matematica e delle Sue Applicazioni |
| spelling | doaj.art-4f9b6ae11835408b884183ebcb8e7c062023-05-23T15:04:16ZengSapienza Università EditriceRendiconti di Matematica e delle Sue Applicazioni1120-71832532-33501996-05-01162233264Covariant second variation for first order Lagrangians on fibered manifolds I: Generalized Jacobi fieldsB. CASCIARO0M. FRANCAVIGLIA1Dipartimento di Matematica – Università di Bari – Via Orabona 5 – 75125 Bari – ItalyIstituto di Fisica Matematica “J.–L. Lagrange” – Università di Torino – Via C. Alberto 10 – 10123 Torino – ItalyThe 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 and in the theory of generalized harmonic Lagrangians.https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1996(2)/233-264.pdfcalculus of variationsjacobi fields |
| spellingShingle | B. CASCIARO M. FRANCAVIGLIA Covariant second variation for first order Lagrangians on fibered manifolds I: Generalized Jacobi fields Rendiconti di Matematica e delle Sue Applicazioni calculus of variations jacobi fields |
| title | Covariant second variation for first order Lagrangians on fibered manifolds I: Generalized Jacobi fields |
| title_full | Covariant second variation for first order Lagrangians on fibered manifolds I: Generalized Jacobi fields |
| title_fullStr | Covariant second variation for first order Lagrangians on fibered manifolds I: Generalized Jacobi fields |
| title_full_unstemmed | Covariant second variation for first order Lagrangians on fibered manifolds I: Generalized Jacobi fields |
| title_short | Covariant second variation for first order Lagrangians on fibered manifolds I: Generalized Jacobi fields |
| title_sort | covariant second variation for first order lagrangians on fibered manifolds i generalized jacobi fields |
| topic | calculus of variations jacobi fields |
| url | https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1996(2)/233-264.pdf |
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