Manifolds admitting stable forms

Hông Vân Lê, Martin Panak, and Jiri Vanzura
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Submission date: 28. Jun. 2007
Pages: 22
MSC-Numbers: 53C15
Keywords and phrases: stable forms, automorphism groups
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Abstract:
In this note we give a direct method to classify all stable forms on 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.