Manifolds admitting stable forms

Abstract

In this note we give a direct method to classify all stable forms on ${\mathbb{R}}^n$ 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.

19 pages

References in corpus (1)

• Special metric structures and closed forms