Infinitesimal Time Reparametrisation and Its Applications

Cariñena, J. F. (Universidad de Zaragoza) ; Martínez, E. (Universidad de Zaragoza) ; Muñoz-Lecanda, M. C.

Resumen: A geometric approach to Sundman infinitesimal 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. © 2022, The Author(s).

Idioma: Inglés

DOI: 10.1007/s44198-022-00037-w

Año: 2022

Publicado en: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 29 (2022), 523–555
ISSN: 1402-9251

Factor impacto JCR: 0.7 (2022)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 51 / 56 = 0.911 (2022) - Q4 - T3
Categ. JCR: MATHEMATICS, APPLIED rank: 229 / 267 = 0.858 (2022) - Q4 - T3

Factor impacto CITESCORE: 1.9 - Mathematics (Q2) - Physics and Astronomy (Q3)

Factor impacto SCIMAGO: 0.308 - Statistical and Nonlinear Physics (Q3) - Mathematical Physics (Q3)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E48-20R
Financiación: info:eu-repo/grantAgreement/ES/MICINN/PGC2018-098265-B-C31
Financiación: info:eu-repo/grantAgreement/ES/MINECO/PGC2018-098265-B-C33

Tipo y forma: Article (Published version)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
Área (Departamento): Área Física Teórica (Dpto. Física Teórica)