Flat connections and holonomy
Flat connections and holonomy
This chapter examines flat connections. A connection on a principal bundle is said to be flat when its curvature 2-form is identically zero. The discussions cover flat connections on bundles over the circle; foliations; automorphisms of a principal bundle; the fundamental group of a manifold; the flat connections on bundles over M; the universal covering space; holonomy and curvature; and proof of the classification theorem for flat connections.
Keywords: principal bundle, foliations, automorphisms, manifold, curvature
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