Invariant connections on homogeneous spaces
Abstract
G-invariant metric compatible linear connections on homogeneous spaces G/H are investigated herein. For certain classes of homogeneous spaces the most general form of G-invariant metric and torsion are found.
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Graph symmetries must be taken into account in group averaging.
“But graph symmetries have to be taken properly into account [33,34], which will be done now for the example of Bianchi IX.”
From Loop quantum cosmology: I. Kinematics (2000) · cites this paper as [34]
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Self-citation
- Authors
- Kubyshin, Y. A., Richter, O., & Rudolph, G.
- Affiliations
- Lomonosov Moscow State University (RU)
- Leipzig University (DE)
- Venue
- Journal of Mathematical Physics
- Publisher
- AIP Publishing
- Published
- 1993-11-01
- Volume
- 34
- Issue
- 11
- Pages
- 5268-5282
- ISSN
- 0022-2488 (ISSN-L)
- 1089-7658
- OpenAlex
- W2046518616
- Cited by
- 4
- References
- 43
- FWCI
- 1.20
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Mathematical Physics (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Keywords
- invariant connections, homogeneous spaces, metric-compatible connections, torsion, G-invariant metrics, linear connections, Lie groups
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