Differentiable mapping of affine Qn and projective Pn spaces

Abstract

The authors have studies the fields of invariant geometric images occurring when mapping affine space into projective space. Using these geometric images it is shown that the affine space mappings into manifolds of degenerate and non degenerate null-pairs of projective space occur in invariant way with the mapping considered.

Keywords

• differentiable mapping
• multidimensional spaces
• linear subspaces
• geometrical objects