As a continuation of previous papers, we study the concept of a Lie algebroid structure on an affine bundle by means of the canonical immersion of the affine bundle into its bidual. We pay particular attention to the prolongation and various lifting procedures, and to the geometrical construction of
Singular Lagrangian Systems on Jet Bundles
✍ Scribed by Manuel de León; Jesús Marín-Solano; Juan Carlos Marrero; Miguel C. Muñoz-Lecanda; Narciso Román-Roy
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 536 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0015-8208
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📜 SIMILAR VOLUMES
We give a new proof of the identity between the Morse index of a periodic solution of a Lagrangian system, positive deÿnite in the velocities, and its Maslov index. Furthermore, we give an interpretation of the Maslov index when the Lagrangian system is not positive deÿnite in the velocities. Our ap
## Abstract In this paper we consider the singularities of the varieties parameterizing stable vector bundles of fixed rank and degree with sections on a smooth curve of genus at least two. In particular, we extend results of Y. Laszlo, and of the second author, regarding the singularities of gener