RC-positive metrics on rationally connected manifolds

In this paper, we prove that if a compact Kähler manifold X has a smooth Hermitian metric $\omega $ such that $(T_X,\omega )$ is uniformly RC-positive, then X is projective and rationally connected. Conversely, we show that, if a projective manifold X is rationally connected, then ther...

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書目詳細資料
發表在:Forum of Mathematics, Sigma
主要作者: Xiaokui Yang
格式: Article
語言:英语
出版: Cambridge University Press 2020-01-01
主題:
在線閱讀:https://www.cambridge.org/core/product/identifier/S2050509420000328/type/journal_article