The Classifying Lie Algebroid of a Geometric Structure I: Classes of Coframes

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

We present a systematic study of symmetries, invariants and moduli spaces of
classes of coframes. We introduce a classifying Lie algebroid to give a
complete description of the solution to Cartan's realization problem that
applies to both the local and the global versions of this problem.

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