On generalized Einstein metrics.

Labbi, Mohammed Larbi

Displaying similar documents to “On generalized Einstein metrics.”

Uniqueness and non-existence of metrics with prescribed Ricci curvature

Dennis M. Deturck, Norihito Koiso (1984)

Annales de l'I.H.P. Analyse non linéaire

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On Gauss-Bonnet curvatures.

Labbi, Mohammed-Larbi (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Self-dual Kähler manifolds and Einstein manifolds of dimension four

Andrzej Derdziński (1983)

Compositio Mathematica

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On a class of Ricci-recurrent manifolds.

Ewert-Krzemieniewski, Stanislaw (2003)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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On metrics of positive Ricci curvature conformal to $M \times 𝐑^{m}$

Juan Miguel Ruiz (2009)

Archivum Mathematicum

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Let $(M^{n}, g)$ be a closed Riemannian manifold and $g_{E}$ the Euclidean metric. We show that for $m > 1$ , $(M^{n} \times 𝐑^{m}, (g + g_{E}))$ is not conformal to a positive Einstein manifold. Moreover, $(M^{n} \times 𝐑^{m}, (g + g_{E}))$ is not conformal to a Riemannian manifold of positive Ricci curvature, through a radial, integrable, smooth function, $ϕ : 𝐑^{𝐦} \to 𝐑^{+}$ , for $m > 1$ . These results are motivated by some recent questions on Yamabe constants.

On some generalized Einstein metric conditions.

Deszcz, R. (1996)

Publications de l'Institut Mathématique. Nouvelle Série

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On generalized M-projectively recurrent manifolds

Uday Chand De, Prajjwal Pal (2014)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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The purpose of the present paper is to study generalized M-projectively recurrent manifolds. Some geometric properties of generalized M projectively recurrent manifolds have been studied under certain curvature conditions. An application of such a manifold in the theory of relativity has also been shown. Finally, we give an example of a generalized M-projectively recurrent manifold.

Riemannian metrics with harmonic curvature on 2-sphere bundles over compact surfaces

Andrzej Derdziński (1988)

Bulletin de la Société Mathématique de France

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