6 citations · 13 across the 12 of their papers we have counts for
12 papers
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…
Multivector and Extensor Fields on Smooth Manifolds
A. M. Moya, V. V. Fernandez, W. A. Rodrigues
The objective of the present paper (the second in a series of four) is to give a theory of multivector and extensor fields on a smooth manifold M of arbitrary topology based on the…
Extensor in Geometric Algebras
A. M. Moya, V. V. Fernandez, W. A. Rodrigues
This paper, the third in a series of eight introduces some of the basic concepts of the theory of extensors needed for our formulation of the differential geometry of smooth manifo…
Geometric Algebras
A. M. Moya, V. V. Fernandez, W. A. Rodrigues
This is the first paper in a series of eight where in the first three we develop a systematic approach to the geometric algebras of multivectors and extensors, followed by five pap…
Metric Tensor Vs. Metric Extensor
V. V. Fernández, A. M. Moya, Waldyr A. Rodrigues
In this paper we give a comparison between the formulation of the concept of metric for a real vector space of finite dimension in terms of \emph{tensors} and \emph{extensors}. A n…