Smooth metric measure spaces, quasi-Einstein metrics, and tractors

Jeffrey Case

Displaying similar documents to “Smooth metric measure spaces, quasi-Einstein metrics, and tractors”

Conformal Killing forms with normalisation condition

Leitner, Felipe

Similarity:

Erratum to: “Smooth metric measure spaces, quasi-Einstein metrics, and tractors”

Jeffrey Case (2013)

Open Mathematics

Similarity:

The original version of the article was published in Central European Journal of Mathematics, 2012, 10(5), 1733–1762, DOI: 10.2478/s11533-012-0091-x. Unfortunately, it contains a typographical error in display of (27). Here we display the correct version of the equations.

On $N (k)$ -quasi Einstein manifolds satisfying certain conditions.

Özgür, Cihan, Sular, Sibel (2008)

Balkan Journal of Geometry and its Applications (BJGA)

Similarity:

Parabolic geometries as conformal infinities of Einstein metrics

Olivier Biquard, Rafe Mazzeo (2006)

Archivum Mathematicum

Similarity:

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

Juan Miguel Ruiz (2009)

Archivum Mathematicum

Similarity:

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.

Renormalized volume and the evolution of APEs

Eric Bahuaud, Rafe Mazzeo, Eric Woolgar (2015)

Geometric Flows

Similarity:

We study the evolution of the renormalized volume functional for even-dimensional asymptotically Poincaré-Einstein metrics (M, g) under normalized Ricci flow. In particular, we prove that [...] where S(g(t)) is the scalar curvature for the evolving metric g(t). This implies that if S +n(n − 1) ≥ 0 at t = 0, then RenV(Mn , g(t)) decreases monotonically. For odd-dimensional asymptotically Poincaré-Einstein metrics with vanishing obstruction tensor,we find that the conformal anomaly for...

$N (k)$ -quasi Einstein manifolds satisfying certain curvature conditions

Uday Chand De, Sahanous Mallick (2014)

Matematički Vesnik

Similarity:

Displaying similar documents to “Smooth metric measure spaces, quasi-Einstein metrics, and tractors”

Conformal Killing forms with normalisation condition

Erratum to: “Smooth metric measure spaces, quasi-Einstein metrics, and tractors”

On N ( k ) -quasi Einstein manifolds satisfying certain conditions.

Parabolic geometries as conformal infinities of Einstein metrics

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

Renormalized volume and the evolution of APEs

N ( k ) -quasi Einstein manifolds satisfying certain curvature conditions

On $N (k)$ -quasi Einstein manifolds satisfying certain conditions.

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

$N (k)$ -quasi Einstein manifolds satisfying certain curvature conditions