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Results tagged with kahler-einstein-metric
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user 125275
The Kahler-Einstein metric is an example of a canonical metric on a Kahler manifold. We say that a metric $\omega$ is Kahler-Einstein if $Ric(\omega)=\lambda\omega$, where $\lambda\in\{-1,0,+1\}$.
4
votes
Examples of constant scalar curvature kähler metric that is not kahler einstiein
Here is a non-compact example.
Consider the half-space $ \mathbb{C} \times \mathbb{H}$ as a subset of $ \mathbb{C}^2$. We use the Kahler potential
$$\Psi = \frac{x_1^2}{x_2} - \log(x_2).$$
Here, $ …
- 6,001
1
vote
Locality of Kähler-Ricci flow
In general, I don't think it is possible to estimate how far the limit of the Kähler-Ricci flow will diverge from the flat metric. To give a simple example, if the manifold is $\mathbb{CP}^n$ and the …
- 6,001