12,119 research outputs found
Manifolds admitting stable forms
In this note we give a direct method to classify all stable forms on
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.Comment: 19 page
Universal spaces for manifolds equipped with a closed integral k-form
In this note we prove that any integral closed k-form , , on
a m-dimensional manifold , , is the restriction of a universal
closed k-form on a universal manifold as a result of an
embedding of to .Comment: 17 pages, extended version of the second part of previously submitted
note math.DG/0603182, containing an appendix written in communication with
Kaoru On
- …