On Finslerized absolute parallelism spaces (Q2845351)
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scientific article; zbMATH DE number 6200763
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On Finslerized absolute parallelism spaces |
scientific article; zbMATH DE number 6200763 |
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22 August 2013
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pullback bundle
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nonlinear connection
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Finsler space
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generalized absolute parallelism space
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generalized Lagrange space
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Landsberg space
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Berwald space
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Minkowskian space
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Riemannian space
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0.9350024
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On Finslerized absolute parallelism spaces (English)
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The present paper studies Finsler geometry from the point of view of parallelizable manifolds. The main notion is that of Finsler parallelizable space (FP-space). The geometry of absolute parallelism admits at least four linear connections, two of them are non-symmetric and three of which have non-vanishing curvature tensor. The aim of the authors is to consider FP-spaces as better candidates for the attempts of unification of fundamental interactions, and then some special FP-spaces are considered: Landsberg, Berwald, Minkowskian and Riemannian.
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