Basis Manifold
Differential Geometry
2007-08-13 v4 General Mathematics
Abstract
In this paper we study a symmetry group of vector space. Basis manifold is a homogeneous space of a symmetry group. This concept leads us to the definition of active and passive transformations on basis manifold. Active transformation can be expressed as a transformation of vector space. Passive transformation gives ability to define concepts of invariance and of geometrical object.
Cite
@article{arxiv.math/0412391,
title = {Basis Manifold},
author = {Aleks Kleyn},
journal= {arXiv preprint arXiv:math/0412391},
year = {2007}
}
Comments
English text - 15 pages; Russian text - 16 pages