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Fundam. Prikl. Mat., 2010, Volume 16, Issue 2, Pages 139–146 (Mi fpm1314)  

Almost $C(\lambda)$-manifolds

S. V. Kharitonova

Orenburg State University

Abstract: In this paper, we study almost $C(\lambda)$-manifolds. We obtain necessary and sufficient conditions for an almost contact metric manifold to be an almost $C(\lambda)$-manifold. We prove that contact analogs of A. Gray's second and third curvature identities on almost $C(\lambda)$-manifolds hold, while a contact analog of A. Gray's first identity holds if and only if the manifold is cosymplectic. It is proved that a conformally flat, almost $C(\lambda)$-manifold is a manifold of constant curvature $\lambda$.

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English version:
Journal of Mathematical Sciences (New York), 2011, 177:5, 742–747

Bibliographic databases:

UDC: 514.76

Citation: S. V. Kharitonova, “Almost $C(\lambda)$-manifolds”, Fundam. Prikl. Mat., 16:2 (2010), 139–146; J. Math. Sci., 177:5 (2011), 742–747

Citation in format AMSBIB
\Bibitem{Kha10}
\by S.~V.~Kharitonova
\paper Almost $C(\lambda)$-manifolds
\jour Fundam. Prikl. Mat.
\yr 2010
\vol 16
\issue 2
\pages 139--146
\mathnet{http://mi.mathnet.ru/fpm1314}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2786524}
\transl
\jour J. Math. Sci.
\yr 2011
\vol 177
\issue 5
\pages 742--747
\crossref{https://doi.org/10.1007/s10958-011-0504-6}
\scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80052377988}


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  • Фундаментальная и прикладная математика
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