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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.