Cited by 4Advanced Differential Geometry ResearchRelativity and Gravitational TheoryGeometric Analysis and Curvature Flows

Invariant connections on homogeneous spaces

Kubyshin, Yu. A., Richter, O., Rudolph, G.·1993·Journal of Mathematical Physics

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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Crossref · 10.1063/1.530303

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43 of 43 references verified0 citation errors · 0 not checkable

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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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Authors
Kubyshin, Y. A., Richter, O., & Rudolph, G.
Affiliations
  • Lomonosov Moscow State University (RU)
  • Leipzig University (DE)
Venue
Journal of Mathematical Physics
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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