On the existence of certain conformally recurrent metrics

W. Roter

Displaying similar documents to “On the existence of certain conformally recurrent metrics”

On conformally recurrent Ricci-recurrent manifolds

W. Roter (1982)

Colloquium Mathematicae

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A conformally invariant sphere theorem in four dimensions

Sun-Yung A. Chang, Matthew J. Gursky, Paul C. Yang (2003)

Publications Mathématiques de l'IHÉS

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On generalized Einstein metrics.

Labbi, Mohammed Larbi (2010)

Balkan Journal of Geometry and its Applications (BJGA)

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Constant scalar curvature metrics on connected sums.

Joyce, Dominic (2003)

International Journal of Mathematics and Mathematical Sciences

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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.

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 a class of Ricci-recurrent manifolds.

Ewert-Krzemieniewski, Stanislaw (2003)

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

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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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