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arXiv · 1211.6934

The geometry of K\"ahler cones

Gunnar Þór Magnússon
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Abstract

The K\"ahler cone of a compact manifold carries a natural Riemannian metric, given by the intersection product of its cohomology ring. We write down the curvature tensor of this metric by embedding the K\"ahler cone in the space of hermitian metrics on the underlying manifold. After discussing weak functorality and completeness properties, we give a relative version of both the K\"ahler cone and the metric.

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Gunnar Þór Magnússon. 2012-11-29. The geometry of K\"ahler cones. https://arxiv.org/abs/1211.6934

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