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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 8, Pages 36–41 (Mi ivm7116)  
This article is cited in 23 scientific papers (total in 23 papers)

The mobility of Riemannian spaces with respect to conformal mappings onto Einstein spaces

L. E. Evtushika, V. A. Kiosakb, J. Mikešc

a Chair of Mathematical Analysis, Moscow State University, Moscow, Russia
b Chair of Management, Danube Branch of Interregional Human Resource Management Academy, Izmail, Odessa region, Ukraine
c Chair of Algebra and Geometry, Palacky University, Olomouc, Czech Republic
Full-text PDF (167 kB) Citations (23)
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Abstract: We consider the first lacuna in the distribution of the mobility of $n$-dimensional (pseudo-)Riemannian spaces with respect to conformal mappings onto Einstein spaces. We obtain a tensor characteristic of spaces different from conformally flat ones, for which $r=n-1$; this number is the maximal possible value. Thus, we have found maximally mobile spaces (different from conformally flat ones) with $r=n-1$.
Keywords: mobility distribution, (pseudo-)Riemannian space, conformal mapping, Einstein space.
Received: 08.10.2008
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 8, Pages 29–33
DOI: https://doi.org/10.3103/S1066369X10080049
Bibliographic databases:
Document Type: Article
UDC: 514.762
Language: Russian
Citation: L. E. Evtushik, V. A. Kiosak, J. Mikeš, “The mobility of Riemannian spaces with respect to conformal mappings onto Einstein spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 8, 36–41; Russian Math. (Iz. VUZ), 54:8 (2010), 29–33
Citation in format AMSBIB
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\by L.~E.~Evtushik, V.~A.~Kiosak, J.~Mike{\v s}
\paper The mobility of Riemannian spaces with respect to conformal mappings onto Einstein spaces
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2010
\issue 8
\pages 36--41
\mathnet{http://mi.mathnet.ru/ivm7116}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2752576}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2010
\vol 54
\issue 8
\pages 29--33
\crossref{https://doi.org/10.3103/S1066369X10080049}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78649530390}
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    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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