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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 158, Number 3, Pages 347–354
DOI: https://doi.org/10.4213/tmf6318 (Mi tmf6318) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Rigid six-dimensional $h$-spaces of constant curvature

Z. Kh. Zakirova

Kazan State Power Engineering University
Full-text PDF (371 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6318
Abstract: We consider the six-dimensional pseudo-Riemannian space $V^6(g_{ij})$ with the signature $[++----]$, which admits projective motions, i.e., continuous transformation groups preserving geodesics. We find necessary and sufficient conditions for the six-dimensional rigid $h$-spaces to have constant curvature.
Keywords: differential geometry, pseudo-Riemannian manifold, projective transformation.
Received: 16.11.2007
Revised: 10.04.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 158, Issue 3, Pages 293–299
DOI: https://doi.org/10.1007/s11232-009-0023-5
Bibliographic databases:
Language: Russian
Citation: Z. Kh. Zakirova, “Rigid six-dimensional $h$-spaces of constant curvature”, TMF, 158:3 (2009), 347–354; Theoret. and Math. Phys., 158:3 (2009), 293–299
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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