Publication: Curvature computations in Finsler geometry using a distinguished class of anisotropic connections
Authors
Javaloyes Victoria, Miguel Ángel
item.page.secondaryauthor
item.page.director
Publisher
Springer
publication.page.editor
publication.page.department
DOI
https://doi.org/10.1007/s00009-020-01560-0
item.page.type
info:eu-repo/semantics/article
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
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.
publication.page.subject
Citation
Mediterranean Journal of Mathematics, 2020, Vol. 17: 123
item.page.embargo
Collections
Ir a Estadísticas
Sin licencia Creative Commons.