2005/01/31 by Moya, A. M., Fernandez, V. V., Rodrigues, W. A.
#Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.math/0501556
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 papers where those algebraic concepts are used in a novel presentation of several topics of the differential geometry of (smooth) manifolds of arbitrary global topology. A key tool for the development of our program is the mastering of the euclidean geometrical algebra of multivectors that is detailed in the present paper.