|
This article is cited in 5 scientific papers (total in 5 papers)
Concircular geometry of nearly Kähler manifolds
V. F. Kirichenko, L. I. Vlasova
Moscow State Pedagogical University
Abstract:
Riemannian manifolds admitting concircular transformations of the metric are considered. Concircular invariants of almost Hermitian manifolds are investigated. The geometry of almost Hermitian manifolds obtained by concircular transformations of the metric of nearly Kähler manifolds is studied in detail. New examples of almost Hermitian manifolds of constant curvature in the class $W_1\oplus W_4$ with integrable as well as non-integrable structure are presented.
DOI:
https://doi.org/10.4213/sm651
 Full text:
PDF file (355 kB)
References:
PDF file
HTML file
English version:
Sbornik: Mathematics, 2002, 193:5, 685–707
Bibliographic databases:
    
UDC:
514.76
MSC: 53C15, 53C55
Received: 17.10.2000 and 16.01.2002
Citation:
V. F. Kirichenko, L. I. Vlasova, “Concircular geometry of nearly Kähler manifolds”, Mat. Sb., 193:5 (2002), 53–76; Sb. Math., 193:5 (2002), 685–707
Citation in format AMSBIB
\Bibitem{KirVla02}
\by V.~F.~Kirichenko, L.~I.~Vlasova
\paper Concircular geometry of nearly K\"ahler manifolds
\jour Mat. Sb.
\yr 2002
\vol 193
\issue 5
\pages 53--76
\mathnet{http://mi.mathnet.ru/msb651}
\crossref{https://doi.org/10.4213/sm651}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1918247}
\zmath{https://zbmath.org/?q=an:1085.53036}
\elib{https://elibrary.ru/item.asp?id=13400610}
\transl
\jour Sb. Math.
\yr 2002
\vol 193
\issue 5
\pages 685--707
\crossref{https://doi.org/10.1070/SM2002v193n05ABEH000651}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000178245000004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0036622426}
Linking options:
http://mi.mathnet.ru/eng/msb651https://doi.org/10.4213/sm651 http://mi.mathnet.ru/eng/msb/v193/i5/p53
Citing articles on Google Scholar:
Russian citations,
English citations
Related articles on Google Scholar:
Russian articles,
English articles
This publication is cited in the following articles:
-
E. A. Pol'kina, “Curvature identities for almost contact metric manifolds”, Russian Math. (Iz. VUZ), 51:7 (2007), 54–57
 -
V. F. Kirichenko, E. A. Pol'kina, “A Criterion for the Concircular Mobility of Quasi-Sasakian Manifolds”, Math. Notes, 86:3 (2009), 349–356
-
Karina Olszak, Zbigniew Olszak, “On pseudo-Riemannian manifolds with recurrent concircular curvature tensor”, Acta Math Hung, 2012
-
V. F. Kirichenko, E. A. Pol'kina, “Contact Lie Form and Concircular Geometry of Locally Conformally Quasi-Sasakian Manifolds”, Math. Notes, 99:1 (2016), 52–62
-
M. B. Banaru, “O shestimernoi sfere s priblizhenno kelerovoi strukturoi”, Geometriya, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 146, VINITI RAN, M., 2018, 3–16
|
| Number of views: |
| This page: | 374 | | Full text: | 140 | | References: | 51 | | First page: | 2 |
|
Terms of Use