Abstract
AbstractLet𝔾p,q(𝔽) be the Grassmann space of allq-dimensional𝔽-vector subspaces of𝔽p, where𝔽stands forℝ,ℂorℍ(the quaternions). Here𝔾p,q(𝔽) is regarded as a real algebraic variety. The paper investigates which C∞maps from a nonsingular real algebraic varietyXinto𝔾p,q(𝔽) can be approximated, in theC∞compact-open topology, by real algebraic morphisms.
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