Basis Manifold

Details Basis Manifold Basis Manifold

2004-12-20

arxiv.org/abs/math/0412391v4

Mathematics

Differential Geometry

English text - 15 pages; Russian text - 16 pages

Scientific paper

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.

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