Manifolds admitting stable forms
Differential Geometry
2008-05-03 v1
Abstract
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.
Cite
@article{arxiv.0704.3894,
title = {Manifolds admitting stable forms},
author = {Hong-Van Le and Martin Panak and Jiri Vanzura},
journal= {arXiv preprint arXiv:0704.3894},
year = {2008}
}