Parallel tractor extension and ambient metrics of holonomy split $G_2$
نویسندگان
چکیده
منابع مشابه
Ambient Connections Realising Conformal Tractor Holonomy
For a conformal manifold we introduce the notion of an ambient connection, an affine connection on an ambient manifold of the conformal manifold, possibly with torsion, and with conditions relating it to the conformal structure. The purpose of this construction is to realise the normal conformal tractor holonomy as affine holonomy of such a connection. We give an example of an ambient connectio...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2012
ISSN: 0022-040X
DOI: 10.4310/jdg/1354110197