Linearization of nonlinear connections on vector and affine bundles, and some applications

Martinez, E. (Universidad de Zaragoza)

Resumen: A linear connection is associated with a nonlinear connection on a vector bundle by a linearization procedure. Our definition is intrinsic in terms of vector fields on the bundle. For a connection on an affine bundle, our procedure can be applied after homogenization and restriction. Several applications in classical mechanics are provided.

Idioma: Inglés

DOI: 10.1088/1751-8121/aa9f71

Año: 2018

Publicado en: Journal of Physics A-Mathematical and Theoretical 51, 6 (2018), 065201 [33 pp]
ISSN: 1751-8113

Factor impacto JCR: 2.11 (2018)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 10 / 55 = 0.182 (2018) - Q1 - T1
Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 32 / 81 = 0.395 (2018) - Q2 - T2

Factor impacto SCIMAGO: 0.783 - Mathematical Physics (Q1) - Modeling and Simulation (Q1) - Statistics and Probability (Q1) - Statistical and Nonlinear Physics (Q1) - Physics and Astronomy (miscellaneous) (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E24-1
Financiación: info:eu-repo/grantAgreement/ES/MINECO/MTM2015-64166-C2-1-P

Tipo y forma: Artículo (PostPrint)

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