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When is a Connection a Levi-Civita Connection? - MaRDI portal

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When is a Connection a Levi-Civita Connection?

From MaRDI portal
Publication:6209165

arXiv0804.2698MaRDI QIDQ6209165

Author name not available (Why is that?)

Publication date: 16 April 2008

Abstract: We consider the more general question as to when a connection is a metric connection. There are two aspects to this investigation: first, the determination of the integrability conditions that ensure the existence of a local parallel metric in the neighbourhood of a given point and second, the characterization of the topological obstruction to a globally defined parallel metric.












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