Geometric Algebras
微分几何
2007-05-23 v4
摘要
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.
引用
@article{arxiv.math/0501556,
title = {Geometric Algebras},
author = {A. M. Moya and V. V. Fernandez and W. A. Rodrigues},
journal= {arXiv preprint arXiv:math/0501556},
year = {2007}
}