66 citations · 400 across the 52 of their papers we have counts for
7 papers · 1 filter
Differential Forms on Riemannian (Lorentzian) and Riemann-Cartan Structures and Some Applications to Physics
Waldyr A. Rodrigues
In this paper after recalling some essential tools concerning the theory of differential forms in the Cartan, Hodge and Clifford bundles over a Riemannian or Riemann-Cartan space o…
The Hyperbolic Clifford Algebra of Multivecfors
W. A. Rodrigues, Q. A. G. de Souza
In this paper we give a thoughtful exposition of the hyperbolic Clifford algebra of multivecfors which is naturally associated with a hyperbolic space, whose elements are called ve…
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…
The Square of the Dirac and spin-Dirac Operators on a Riemann-Cartan Space(time)
E. A. Notte-Cuello, W. A. Rodrigues, Q. A. G. de Souza
In this paper we introduce the Dirac and spin-Dirac operators associated to a connection on Riemann-Cartan space(time) and standard Dirac and spin-Dirac operators associated with a…