Infinitesimal time reparametrisation and its applications

Cariñena Marzo, José Fernando; Martínez Fernandez, Eduardo; Muñoz Lecanda, Miguel Carlos

doi:10.1007/s44198-022-00037-w

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Cariñena Marzo, José Fernando

Martínez Fernandez, Eduardo

Muñoz Lecanda, Miguel Carlos

Document typeArticle

Defense date2022-02-21

PublisherSpringer

Rights accessOpen Access

Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution 4.0 International

ProjectINTERACCION FISICA-TECNOLOGIA-MATEMATICAS: METODOS GEOMETRICOS MODERNOS (AEI-PGC2018-098265-B-C31)
GEOMETRIA-FISICA-CONTROL Y APLICACIONES (AEI-PGC2018-098265-B-C33)

Abstract

A geometric approach to Sundman infnitesimal time-reparametrisation is given and some of its applications are used to illustrate the general theory. Special emphasis is put on geodesic motions and systems described by mechanical type Lagrangians. The Jacobi metric appears as a particular case of a Sundman transformation.

CitationCariñena, J.F.; Martínez, E.; Muñoz-Lecanda, M.C. Infinitesimal time reparametrisation and its applications. "Journal of nonlinear mathematical physics", 21 Febrer 2022, vol. 29, p. 523-555.

URIhttp://hdl.handle.net/2117/386651

DOI10.1007/s44198-022-00037-w

ISSN1776-0852

Publisher versionhttps://link.springer.com/article/10.1007/s44198-022-00037-w

Other identifiershttps://arxiv.org/pdf/2202.09581.pdf

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