14 citations · 37 across the 19 of their papers we have counts for
19 papers
Gravitation as a Plastic Distortion of the Lorentz Vacuum
Virginia V. Fernandez, Waldyr A. Rodrigues
In this paper we present a theory of the gravitational field where this field (a kind of square root of g) is represented by a (1,1)-extensor field h describing a plastic distortio…
Covariant Derivatives of Extensor Fields
V. V. Fernandez, A. M. Moya, E. Notte-Cuello +1
A simple theory of the covariant derivatives, deformed derivatives and relative covariant derivatives of extensor fields is present using algebraic and analytical tools developed i…
Covariant Derivatives of Multivector and Multiform Fields
V. V. Fernandez, A. M. Moya, E. Notte-Cuello +1
A simple theory of the covariant derivatives, deformed derivatives and relative covariant derivatives of multivector and multiform fields is presented using algebraic and analytica…
Parallelism Structure on a Smooth Manifold
V. V. Fernandez, A. M. Moya, E. Notte-Cuello +1
Using the theory of extensors developed in a previous paper we present a theory of the parallelism structure on arbitrary smooth manifold. Two kinds of Cartan connection operators…
Duality Products of Multivectors and Multiforms, and Extensors
V. V. Fernandez, A. M. Moya, E. Notte-Cuello +1
In this paper we study in details the properties of the duality product of multivectors and multiforms (used in the definition of the hyperbolic Clifford algebra of multivefors) an…
Geometric and Extensor Algebras and the Differential Geometry of Arbitrary Manifolds
V. V. Fernandez, A. M. Moya, W. A. Rodrigues
We give in this paper which is the third in a series of four a theory of covariant derivatives of representatives of multivector and extensor fields on an arbitrary open set U of M…