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Keywords:
stable forms; automorphism groups
stable forms; automorphism groups
Summary:
In this note we give a direct method to classify all stable forms on $\Bbb R^n$ as well as to determine their automorphism groups. We show that in dimensions 6, 7, 8 stable forms coincide with non-degenerate 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.
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