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arXiv · 1408.4769

Balanced metrics on uniruled manifolds

Ionut Chiose·Rares Rasdeaconu·Ioana Suvaina
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Abstract

We show that an $n-$dimensional Moishezon manifold is uniruled if and only if it supports a balanced metric $\omega^{n-1}$ of positive total scalar Chern curvature. A similar statement also holds true for class $\mathcal C$ manifolds of dimension three.

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BibTeXRIS

Ionut Chiose, Rares Rasdeaconu, Ioana Suvaina. 2014-08-20. Balanced metrics on uniruled manifolds. https://arxiv.org/abs/1408.4769

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