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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 V6(gij) 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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\paper Rigid six-dimensional $h$-spaces of constant curvature
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  • https://www.mathnet.ru/eng/tmf6318
  • https://doi.org/10.4213/tmf6318
  • https://www.mathnet.ru/eng/tmf/v158/i3/p347
    • This publication is cited in the following 3 articles:
    1. Z. Kh. Zakirova, “Structure of the projective group in a pseudo-Riemannian space”, Theoret. and Math. Phys., 196:1 (2018), 965–975  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    2. Z. Kh. Zakirova, “On projective motion in the 6-dimensional pseudo-Riemannian space of the special type”, Bull. Lebedev Phys. Inst., 42:5 (2015), 127  crossref
    3. Z. Kh. Zakirova, “On some special solutions of Eisenhart equation”, Ufa Math. J., 5:3 (2013), 40–52  mathnet  crossref  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :229
    References:62
    First page:5
     
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