Curvature computations in Finsler geometry using a distinguished class of anisotropic connections

Javaloyes Victoria, Miguel Ángel

Publication:
Curvature computations in Finsler geometry using a distinguished class of anisotropic connections

dc.contributor.author	Javaloyes Victoria, Miguel Ángel
dc.contributor.department	Matemáticas
dc.date.accessioned	2025-01-30T16:01:01Z
dc.date.available	2025-01-30T16:01:01Z
dc.date.issued	2020-06-30
dc.description	© 2020, Springer Nature Switzerland AG. This document is the Published Manuscript, version of a Published Work that appeared in final form in Mediterranean Journal of Mathematics. To access the final edited and published work see https://doi.org/10.1007/s00009-020-01560-0
dc.description.abstract	We show how to compute tensor derivatives and curvature tensors using affine connections. This allows for all computations to be obtained without using coordinate systems, in a way that parallels the computations appearing in classical Riemannian geometry. In particular, we obtain Bianchi identities for the curvature tensor of any anisotropic connection, we compare the curvature tensors of any two anisotropic connections, and we find a family of anisotropic connections which are well suited to study the geometry of Finsler metrics.	es
dc.format	application/pdf	es
dc.format.extent	21	es
dc.identifier.citation	Mediterranean Journal of Mathematics, 2020, Vol. 17: 123
dc.identifier.doi	https://doi.org/10.1007/s00009-020-01560-0
dc.identifier.issn	Print: 1660-5446
dc.identifier.issn	Electronic: 1660-5454
dc.identifier.uri	http://hdl.handle.net/10201/149790
dc.language	eng	es
dc.publisher	Springer
dc.relation	The research 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. It was partially supported by MINECO/FEDER project MTM2015-65430- P, MICINN/FEDER project PGC2018-097046-B-I00 and Fundación Séneca project 19901/GERM/15, Spain.	es
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s00009-020-01560-0
dc.rights.accessRights	info:eu-repo/semantics/restrictedAccess
dc.subject	Anisotropic linear connections	es
dc.subject	Finsler geometry	es
dc.subject	Jacobi operator	es
dc.subject	Bianchi identities.	es
dc.title	Curvature computations in Finsler geometry using a distinguished class of anisotropic connections	es
dc.type	info:eu-repo/semantics/article	es
dspace.entity.type	Publication	es