MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Manifolds admitting stable forms

Hông Vân Lê, Martin Panak and Jiri Vanzura


In this note we give a direct method to classify all stable forms on $R^n$ as well as to determine their automorphism groups. We show that in dimension 6,7,8 stable forms coincide with non-degnerate forms. We present necessary conditions and sufficient conditions for a manifold to admit a stable form. We also discuss rich properties of the geometry of such manifolds.

Jun 28, 2007
Jun 28, 2007
MSC Codes:
stable forms, automorphism groups

Related publications

2008 Repository Open Access
Hông Vân Lê, Martin Panak and Jiri Vanzura

Manifolds admitting stable forms

In: Commentationes mathematicae Universitatis Carolinae, 49 (2008) 1, pp. 101-117