The Existence of Cartan Connections and Geometrizable Principle Bundles
نویسنده
چکیده
The aim of this article is to proof a necessary and sufficient condition for the existence of a Cartan connection on a principal bundle, cf. Theorem 3.2. After collecting the essentially well known facts1 to fix the terminology, abstract soldering forms and geometrizable principle bundles are defined to finally prove the existence criterion. 1 Principal bundles and associated bundles. Throughout the paper let H → P π → M denote a principal H-bundle over the base manifold M , where P is a manifold, and H a Lie group with a smooth free proper right action on P
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تاریخ انتشار 2002