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Changed Kahler to Kähler throughout, and added the 'kahler' tag.

edit approved Jul 23, 2013 at 16:45

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Kähler metric on projectivised bundle

Let $E\rightarrow M$ be a holomorphic bundle over a Kähler manifold. Does its projectivisation $\mathbb{P}(E)$ always admit a Kähler metric? If yes, how to see that?

complex-geometry kahler-manifolds

asked Jun 26, 2011 at 9:11

math_donk