Classification of $k$-forms on ${\mathbf{R}}^n$ and the existence of associated geometry on manifolds

Hông Vân Lê, Jiří Vanžura

In this paper we survey methods and results of classification of $k$-forms (resp. $k$-vectors on ${\mathbf{R}}^n$), understood as description of the orbit space of the standard ${\bf GL…