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Matematicheskie Trudy, 2017, Volume 20, Number 1, Pages 3–20
DOI: https://doi.org/10.17377/mattrudy.2017.20.101 (Mi mt311) 		 
On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow

N. A. Abiev

Taraz State University, Taraz, Kazakhstan
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DOI: https://doi.org/10.17377/mattrudy.2017.20.101
Abstract: The paper is devoted to the study of the evolution of invariant Riemannian metrics on the special class of generalized Wallach spaces corresponding to the case of $a_1=a_2=a_3=1/4$. We prove that the normalized Ricci flow evolves all generic invariant Riemannian metrics into metrics with positive Ricci curvature.
Key words: generalized Wallach space, Riemannian metric, Ricci flow, Ricci curvature, sectional curvature, dynamical system, singular point.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 1452/ГФ 4
Received: 17.08.2016
English version:
Siberian Advances in Mathematics, 2017, Volume 27, Issue 4, Pages 227–238
DOI: https://doi.org/10.3103/S1055134417040010
Bibliographic databases:
Document Type: Article
UDC: 514.765+517.938
Language: Russian
Citation: N. A. Abiev, “On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow”, Mat. Tr., 20:1 (2017), 3–20; Siberian Adv. Math., 27:4 (2017), 227–238
Citation in format AMSBIB
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\by N.~A.~Abiev
\paper On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow
\jour Mat. Tr.
\yr 2017
\vol 20
\issue 1
\pages 3--20
\mathnet{http://mi.mathnet.ru/mt311}
\crossref{https://doi.org/10.17377/mattrudy.2017.20.101}
\elib{https://elibrary.ru/item.asp?id=29145398}
\transl
\jour Siberian Adv. Math.
\yr 2017
\vol 27
\issue 4
\pages 227--238
\crossref{https://doi.org/10.3103/S1055134417040010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85036555110}
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    		Математические труды Siberian Advances in Mathematics
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