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zbMATH Open
Article . 1997
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Publicationes Mathematicae Debrecen
Article . 1997 . Peer-reviewed
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Curvature theory of generalized second order gauge connections

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1997Publisher:University of Debrecen/ Debreceni EgyetemJournal:Publicationes Mathematicae Debrecen, volume 50, pages 97-106 (issn: 0033-3883, Copyright policy )
Authors: Čomić, I.;

doi: 10.5486/pmd.1997.1743

Curvature theory of generalized second order gauge connections

Abstract

In this paper Miron's \(d\)(distinguished)-gauge connections are generalized in such a way that the usual invariance conditions are no longer required. Local coordinates of the space are divided into 3 parts. Consequently the tangent bundle splits into the sum of 3 bundles (Whitney sum) as well. Then curvature tensors and the Ricci equations are obtained.

Keywords

generalized gauge connection, Ricci equation, Finsler connection, Local differential geometry of Finsler spaces and generalizations (areal metrics), curvature tensor

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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