Manifolds admitting stable forms
نویسنده
چکیده
Special geometries defined by a class of differential forms on manifolds are again in the center of interests of geometers. These interests are motivated by the fact that such a setting of special geometries unifies many known geometries as symplectic geometry and geometries with special holonomy [Joyce2000], as well as other geometries arised in the M-theory [GMPW2004], [Tsimpis2005]. A series of papers by Hitchin [Hitchin2000], [Hitchin2001] and his school [Witt2005], etc., opened a new way to these special geometries. Among them they studied geometries associated with certain stable 3-forms in dimensions 6, 7 and 8 (see the definition of a stable form in section 2 after Proposition 2.2.)
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