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Campo DC | Valor | Lengua/Idioma |
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dc.contributor.author | Javaloyes, Miguel Ángel | - |
dc.contributor.author | Sánchez, Miguel | - |
dc.date.accessioned | 2025-01-28T20:27:11Z | - |
dc.date.available | 2025-01-28T20:27:11Z | - |
dc.identifier.citation | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. Volumen 114, artículo 30, 2020. | es |
dc.identifier.issn | Print.:1578-7303 | - |
dc.identifier.issn | Electronic.: 1579-1505 | - |
dc.identifier.uri | http://hdl.handle.net/10201/149541 | - |
dc.description | © 2019 Authors This document is the published version of a published work that appeared in final form in Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas To access the final edited and published work see: https://doi.org/10.1007/s13398-019-00736-y | - |
dc.description.abstract | A systematic study of (smooth, strong) cone structures C and Lorentz–Finsler metrics L is carried out. As a link between both notions, cone triples (, T , F), where (resp. T ) is a 1-form (resp. vector field) with (T ) ≡ 1 and F, a Finsler metric on ker(), are introduced. Explicit descriptions of all the Finsler spacetimes are given, paying special attention to stationary and static ones, as well as to issues related to differentiability. In particular, cone structures C are bijectively associated with classes of anisotropically conformal metrics L, and the notion of cone geodesic is introduced consistently with both structures. As a non- relativistic application, the time-dependent Zermelo navigation problem is posed rigorously, and its general solution is provided. | es |
dc.format | application/pdf | es |
dc.format.extent | 46 | es |
dc.language | eng | es |
dc.publisher | Springer | - |
dc.relation | This work is a result of the activity developed within the framework of the Programme in Support of Excellence Groups of the Región de Murcia, Spain, by Fundación Séneca, Science and Technology Agency of the Región de Murcia. MAJ was partially supported by MINECO/FEDER project reference MTM2015-65430-P and Fundación Séneca project reference 19901/GERM/15, Spain and MS by Spanish MINECO/ERDF project reference MTM2016-78807-C2-1-P. | es |
dc.rights | info:eu-repo/semantics/embargoedAccess | es |
dc.subject | Finsler spacetime | es |
dc.subject | Lorentz-Finsler metrics and norms | es |
dc.subject | Cone structure | es |
dc.subject | Static and stationary spacetimes | es |
dc.subject | Zermelo navigation problem | es |
dc.subject | Generalized Fermat principle | es |
dc.title | On the definition and examples of cones and Finsler spacetimes | es |
dc.type | info:eu-repo/semantics/article | es |
dc.relation.publisherversion | https://link.springer.com/journal/13398 | - |
dc.embargo.terms | Si | - |
dc.identifier.doi | https://doi.org/10.1007/s13398-019-00736-y | - |
dc.contributor.department | Departamento de Matemáticas | - |
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