Basis Manifold

Aleks Kleyn

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Basis Manifold

Aleks Kleyn

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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.

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BibTeX RIS

Aleks Kleyn. 2007-08-12. Basis Manifold. https://arxiv.org/abs/math/0412391

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