Connections for general group actions

Debra Lewis, Nilima Nigam, Peter J. Olver

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We introduce the notion of a partial connection, which extends to manifolds with nonfree group actions most of the key features of connections on principal bundles. We investigate several properties of curvature in this setting and show that (partial) moving frames determine (partial) connection forms.

Original languageEnglish (US)
Pages (from-to)341-374
Number of pages34
JournalCommunications in Contemporary Mathematics
Issue number3
StatePublished - Jun 2005


  • Connections
  • Curvature
  • Isotropy
  • Moving frames


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