Some progress in conformal geometry.

Chang, Sun-Yung A.; Qing, Jie; Yang, Paul

Displaying similar documents to “Some progress in conformal geometry.”

Branson's $Q$ -curvature in Riemannian and spin geometry.

Hijazi, Oussama, Raulot, Simon (2007)

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

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Monopole metrics and the orbifold Yamabe problem

Jeff A. Viaclovsky (2010)

Annales de l’institut Fourier

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We consider the self-dual conformal classes on $n # {ℂℙ}^{2}$ discovered by LeBrun. These depend upon a choice of $n$ points in hyperbolic $3$ -space, called monopole points. We investigate the limiting behavior of various constant scalar curvature metrics in these conformal classes as the points approach each other, or as the points tend to the boundary of hyperbolic space. There is a close connection to the orbifold Yamabe problem, which we show is not always solvable (in contrast to the case of compact...

Conformal metrics with constant $Q$ -curvature.

Malchiodi, Andrea (2007)

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

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Conformal Dirichlet-Neumann maps and Poincaré-Einstein manifolds.

Gover, A.Rod (2007)

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

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Future directions of research in geometry: a summary of the panel discussion at the 2007 midwest geometry conference.

Peterson, Lawrence J. (ed.) (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [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.

Conformally Osserman Lorentzian manifolds

Novica Blažić (2005)

Kragujevac Journal of Mathematics

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Displaying similar documents to “Some progress in conformal geometry.”

Branson's Q -curvature in Riemannian and spin geometry.

Monopole metrics and the orbifold Yamabe problem

Conformal metrics with constant Q -curvature.

Conformal Dirichlet-Neumann maps and Poincaré-Einstein manifolds.

Future directions of research in geometry: a summary of the panel discussion at the 2007 midwest geometry conference.

On metrics of positive Ricci curvature conformal to M × 𝐑 m

Conformally Osserman Lorentzian manifolds

Branson's $Q$ -curvature in Riemannian and spin geometry.

Conformal metrics with constant $Q$ -curvature.

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