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MiS Preprint
59/2007

Manifolds admitting stable forms

Hông Vân Lê, Martin Panak and Jiri Vanzura

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.

Received:
28.06.2007
Published:
28.06.2007
MSC Codes:
53C15
Keywords:
stable forms, automorphism groups

Related publications

inJournal
2008 Repository Open Access
Hông Vân Lê, Martin Panak and Jiri Vanzura

Manifolds admitting stable forms

In: Commentationes mathematicae Universitatis Carolinae, 49 (2008) 1, pp. 101-117