On the Maslov index in a symplectic reduction and applications
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- by Henrique Vitório PDF
- Proc. Amer. Math. Soc. 148 (2020), 3517-3526 Request permission
Abstract:
We provide a short and self-contained proof of an equality of Maslov indices in a linear symplectic reduction and apply it to obtain an equality of Maslov focal indices after reducing by symmetries an electromagnetic Lagrangian system.References
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Additional Information
- Henrique Vitório
- Affiliation: Departamento de Matemática, Universidade Federal de Pernambuco, Cidade Universitária, Recife, Pernambuco, Brazil
- Email: henriquevitorio@dmat.ufpe.br
- Received by editor(s): September 16, 2019
- Received by editor(s) in revised form: November 25, 2019, and December 11, 2019
- Published electronically: March 4, 2020
- Additional Notes: This work was supported by CNPq, grant No. 232664/2014-5 and the Brazilian program Science Without Borders, grant No. 232664/2014-5.
- Communicated by: Jia-Ping Wang
- © Copyright 2020 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 3517-3526
- MSC (2010): Primary 53D12
- DOI: https://doi.org/10.1090/proc/14985
- MathSciNet review: 4108857
Dedicated: Dedicated to Professor Fernando F. Cardoso on the occasion of his 80th birthday