8 citations · 28 across the 7 of their papers we have counts for
7 papers
A Clifford Bundle Approach to the Wave Equation of a Spin 1/2 Fermion in the de Sitter Manifold
W. A. Rodrigues, S. A. Wainer, M. Rivera-Tapia +2
In this paper we give a Clifford bundle motivated approach to the wave equation of a free spin fermion in the de Sitter manifold, a brane with topology $M=\mathrm{S0}(4,1)/\m…
Locally Inertial Reference Frames in Lorentzian and Riemann-Cartan Spacetimes
J. F. T. Giglio, W. A. Rodrigues
In this paper we scrutinize the concept of locally inertial reference frames (LIRF) in Lorentzian and Riemann-Cartan spacetime structures. We present rigorous mathematical definiti…
Superluminal Neutrinos from OPERA Experiment and Weyl Equation
E. Capelas de Oliveira, W. A. Rodrigues, J. Vaz
By analyzing the structure of the Weyl spinor field in the Clifford bundle formalism we show that in each spinorial frame it is represented by F\insec(\doublebarwedge^0 T^\starM +…
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…
Geometric Algebras and Extensors
V. V. Fernandez, A. M. Moya, W. A. Rodrigues
This is the first paper in a series (of four) designed to show how to use geometric algebras of multivectors and extensors to a novel presentation of some topics of differential ge…
A Comment on "On Some Contradictory Computations in Multi-dimensional Mathematics"
E. Capelas de Oliveira, W. A. Rodrigues
In this paper we analyze the status of some `unbelievable results' presented in the paper `On Some Contradictory Computations in Multi-Dimensional Mathematics' [1] published in Non…