New examples of Riemannian g.o. manifolds in dimension 7
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Publication:1877590
DOI10.1016/j.difgeo.2004.03.006zbMath1050.22011OpenAlexW2072233829WikidataQ115358053 ScholiaQ115358053MaRDI QIDQ1877590
Zdeněk Dušek, Oldřich Kowalski, Stana Ž. Nikčević
Publication date: 19 August 2004
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2004.03.006
Differential geometry of homogeneous manifolds (53C30) Nilpotent and solvable Lie groups (22E25) Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35)
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Cites Work
- Unnamed Item
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- Unnamed Item
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- Unnamed Item
- Unnamed Item
- On geodesic graphs of Riemannian g. o. spaces
- Modified \(H\)-type groups and symmetric-like Riemannian spaces
- Appendix to: On geodesic graphs of Riemannian g. o. spaces
- On homogeneous Riemannian manifolds
- Naturally Reductive Metrics of Nonpositive Ricci Curvature
- On the Geometry of Groups of Heisenberg Type
- Naturally reductive metrics and Einstein metrics on compact Lie groups
- Geodesic graphs on the 13–dimensional group of Heisenberg type
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