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arXiv · 0704.3894

Manifolds admitting stable forms

Hong-Van Le·Martin Panak·Jiri Vanzura
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Abstract

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.

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Hong-Van Le, Martin Panak, Jiri Vanzura. 2007-04-30. Manifolds admitting stable forms. https://arxiv.org/abs/0704.3894

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