Connections for general group actions

Debra Lewis; Nilima Nigam; Peter J. Olver

doi:10.1142/S0219199705001787

Connections for general group actions

Debra Lewis, Nilima Nigam, Peter J. Olver

School of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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 language	English (US)
Pages (from-to)	341-374
Number of pages	34
Journal	Communications in Contemporary Mathematics
Volume	7
Issue number	3
DOIs	https://doi.org/10.1142/S0219199705001787
State	Published - Jun 2005

Keywords

Connections
Curvature
Isotropy
Moving frames

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10.1142/S0219199705001787

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title = "Connections for general group actions",

abstract = "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.",

keywords = "Connections, Curvature, Isotropy, Moving frames",

author = "Debra Lewis and Nilima Nigam and Olver, {Peter J.}",

year = "2005",

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doi = "10.1142/S0219199705001787",

language = "English (US)",

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AU - Lewis, Debra

AU - Nigam, Nilima

AU - Olver, Peter J.

PY - 2005/6

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KW - Connections

KW - Curvature

KW - Isotropy

KW - Moving frames

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VL - 7

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EP - 374

JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

IS - 3

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Connections for general group actions

Abstract

Keywords

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