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Basis Manifold

Research paper by Aleks Kleyn

Indexed on: 12 Aug '07Published on: 12 Aug '07Published in: Mathematics - Differential Geometry



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.