Lie Algebroids, Holonomy and Characteristic Classes
关键词: Connection (mathematics) 、 Algebra 、 Mathematics 、 Characteristic class 、 Lie algebroid 、 Lie bracket of vector fields 、 Foliation 、 Orbit (control theory) 、 Simple Lie group 、 Holonomy
摘要: Abstract We extend the notion of connection in order to study singular geometric structures, namely, we consider a on Lie algebroid which is natural extension usual concept covariant connection. It allows us define holonomy orbit foliation and prove Stability Theorem. also introduce secondary or exotic characteristic classes, thus providing invariants generalize modular class algebroid.
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