منابع مشابه
On Curvature Tensors in Absolute Parallelism Geometry
In this paper we discuss curvature tensors in the context of Absolute Parallelism geometry. Different curvature tensors are expressed in a compact form in terms of the torsion tensor of the canonical connection. Using the Bianchi identities some other identities are derived from the expressions obtained. These identities, in turn, are used to reveal some of the properties satisfied by an intrig...
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The Bazanski approach, for deriving the geodesic equations in Riemannian geometry, is generalized in the absolute parallelism geometry. As a consequence of this generalization three path equations are obtained. A striking feature in the derived equations is the appearance of a torsion term with a numerical coefficients that jumps by a step of one half from equation to another. This is tempting ...
متن کاملAbsolute Parallelism Geometry: Developments, Applications and Problems
Absolute parallelism geometry is frequently used for physical applications. It has two main defects, from the point of view of applications. The first is the identical vanishing of its curvature tensor. The second is that its autoparallel paths do not represent physical trajectories. The present work shows how these defects were treated in the course of development of the geometry. The new vers...
متن کاملParameterized Absolute Parallelism: A Geometry for Physical Applications
Absolute parallelism (AP) geometry is frequently used for physical applications. Although it is wider than the Riemannian geometry, it has two main defects. The first is that its path equation does not represent physical trajectories of any test particle. The second is the identical vanishing of its curvature tensor. The present work shows that parameterizing this geometry would solve the two p...
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We introduce the concept of parallelism in diagram geometry, we apply it to a new gluing concept that provides geometries of higher rank, we combine it with another recent extension procedure for geometries and collect many examples solving existence questions for geometries over specified diagrams.
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ژورنال
عنوان ژورنال: International Journal of Geometric Methods in Modern Physics
سال: 2008
ISSN: 0219-8878,1793-6977
DOI: 10.1142/s0219887808003235