Total connections in Lie groupoids

Juraj Virsik

On the holonomity of higher order connections

Juraj Virsik (1971)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Higher order Cartan connections

Juraj Virsik (1996)

Archivum Mathematicum

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A Cartan connection associated with a pair $P (M, G^{'}) \subset P (M, G)$ is defined in the usual manner except that only the injectivity of $ω : T (P^{'}) \to T {(G)}_{e}$ is required. For an $r$ -th order connection associated with a bundle morphism $Φ : P^{'} \to P$ the concept of Cartan order $q \leq r$ is defined, which for $q = r = 1, Φ : P^{'} \subset P$ , and $dim M = dim G / G^{'}$ coincides with the classical definition. Results are obtained concerning the Cartan order of $r$ -th order connections that are the product of $r$ first order (Cartan) connections.

On the torsion of spaces with connection

Ivan Kolář (1971)

Czechoslovak Mathematical Journal

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Displaying similar documents to “Total connections in Lie groupoids”

On the holonomity of higher order connections

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On the torsion of spaces with connection