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arXiv · 1712.03725

Fano manifolds with nef tangent bundles are weakly almost K{ä}hler-Einstein

Jean-Pierre Demailly
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Abstract

The goal of this short note is to point out that every Fano manifold with a nef tangent bundle possesses an almost K{ä}hler-Einstein metric, in a weak sense. The technique relies on a regularization theorem for closed positive (1, 1)-currents. We also discuss related semistability questions and Chern inequalities.

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Jean-Pierre Demailly. 2018-02-06. Fano manifolds with nef tangent bundles are weakly almost K{ä}hler-Einstein. https://arxiv.org/abs/1712.03725

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