Manifolds admitting stable forms

Details Manifolds admitting stable forms Manifolds admitting stable forms

2007-04-30

arxiv.org/abs/0704.3894v1

Comm. Math. Carolinae, vol 49, n1,(2008), 101-117

Mathematics

Differential Geometry

19 pages

Scientific paper

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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