Metric Compatible Covariant Derivatives

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dc.creatorRodrigues Jr., W. A.
dc.creatorFernandez, V. V.
dc.creatorMoya, A. M.
dc.date2005-01-31
dc.date2006-08-30
dc.date.accessioned2026-07-07T06:39:23Z
dc.date.available2026-07-07T06:39:23Z
dc.descriptionThis paper, sixth in a series of eight, uses the geometric calculus on manifolds developed in previous papers of the series to introduce through the concept of a metric extensor field g a metric structure for a smooth manifold M. The associated Christoffel operators, a notable decomposition of that object and the associated Levi-Civita connection field are given. The paper introduces also the concept of a geometrical structure for a manifold M as a triple (M,g,gamma), where gamma is a connection extensor field defining a parallelism structure for M . Next, the theory of metric compatible covariant derivatives is given and a relationship between the connection extensor fields and covariant derivatives of two deformed (metric compatible) geometrical structures (M,g,gamma) and (M,eta,gamma') is determined.
dc.identifierhttps://arxiv.org/abs/math/0501561
dc.identifierhttp://arxiv.org/abs/math/0501561
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101057
dc.subjectDifferential Geometry
dc.titleMetric Compatible Covariant Derivatives
dc.typetext

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