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As an example where this does hold, for $\omega$ a Kähler metric of constant scalar curvature with $\pi c_1(M) = \lambda [\omega]$, then $\omega$ is KaehlerKähler-Einstein. This is Proposition 2.12 in Tian's "Canonical metrics in KaehlerKähler Geometry".

As an example where this does hold, for $\omega$ a Kähler metric of constant scalar curvature with $\pi c_1(M) = \lambda [\omega]$, then $\omega$ is Kaehler-Einstein. This is Proposition 2.12 in Tian's "Canonical metrics in Kaehler Geometry".

As an example where this does hold, for $\omega$ a Kähler metric of constant scalar curvature with $\pi c_1(M) = \lambda [\omega]$, then $\omega$ is Kähler-Einstein. This is Proposition 2.12 in Tian's "Canonical metrics in Kähler Geometry".

Umlauted Kähler.
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Benoît Kloeckner
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As an example where this does hold, for $\omega$ a KaehlerKähler metric of constant scalar curvature with $\pi c_1(M) = \lambda [\omega]$, then $\omega$ is Kaehler-Einstein. This is Proposition 2.12 in Tian's "Canonical metrics in Kaehler Geometry".

As an example where this does hold, for $\omega$ a Kaehler metric of constant scalar curvature with $\pi c_1(M) = \lambda [\omega]$, then $\omega$ is Kaehler-Einstein. This is Proposition 2.12 in Tian's "Canonical metrics in Kaehler Geometry".

As an example where this does hold, for $\omega$ a Kähler metric of constant scalar curvature with $\pi c_1(M) = \lambda [\omega]$, then $\omega$ is Kaehler-Einstein. This is Proposition 2.12 in Tian's "Canonical metrics in Kaehler Geometry".

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As an example where this does hold, for $\omega$ a Kaehler metric of constant scalar curvature with $\pi c_1(M) = \lambda [\omega]$, then $\omega$ is Kaehler-Einstein. This is Proposition 2.12 in Tian's "Canonical metrics in Kaehler Geometry".