2007•International Journal of Contemporary Mathematical SciencesOpen access

Equi-affine vector fields on manifold with equi-affine structure

Morteza Faghfouri, Megerdich Toomanian

Abstract

The aim is to extend the theory of affine plane curves on R2, to the manifolds of 2 and n dimensions. Affine arclength, affine curvatures, and equi-affine vector fields are defined on a manifold of dimension n with equi-affine structure. Classification of equi-affine vector fields on two dimensional equi-affine structure is obtained.

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Key concepts: Affine transformation, Affine coordinate system, Affine hull, Affine combination, Mathematics, Pure mathematics, Vector field, Affine group