12 citations · 33 across the 16 of their papers we have counts for
8 papers · 1 filter
Clifford and Extensor Calculus and the Riemann and Ricci Extensor Fields in of Deformed Structures
Virginia V. Fernandez, Waldyr A. Rodrigues, Antonio M. Moya +1
Here (the last paper in a series of four) we end our presentation of the basics of a systematical approach to the differential geometry of a smooth manifold M (supporting a metric…
Derivative Operators in Metric and Geometric Structures
V. V. Fernadez, A. M. Moya, W. A. Rodrigues
This paper (the seventh paper in a series of eight) continues the development of our theory of multivector and extensor calculus on smooth manifolds. Here we deal first with the co…
Metric Compatible Covariant Derivatives
W. A. Rodrigues, V. V. Fernandez, A. M. Moya
This 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 fi…
Covariant Derivatives of Mutivector and Extensor Fields
A. M. Moya, V. V. Fernadez, W. A. Rodrigues
We give in this paper which is the fifth in a series of eight a theory of covariant derivatives of multivector and extensor fields based on the geometric calculus of an arbitrary s…
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…