Geodesic
Manifolds admitting stable forms
Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 1, pp. 101-117.

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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.
Classification : 53C10, 53C15, 53C25
Keywords: stable forms; automorphism groups 
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     title = {Manifolds admitting stable forms},
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     zbl = {1212.53051},
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Lê, Hông-Van; Panák, Martin; Vanžura, Jiří. Manifolds admitting stable forms. Commentationes Mathematicae Universitatis Carolinae, Tome 49 (2008) no. 1, pp. 101-117. http://geodesic.mathdoc.fr/item/CMUC_2008__49_1_a9/