RC-positive metrics on rationally connected manifolds
| Autor: | Xiaokui Yang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: | |
| Zdroj: | Forum of Mathematics, Sigma, Vol 8 (2020) |
| Druh dokumentu: | article |
| ISSN: | 2050-5094 |
| DOI: | 10.1017/fms.2020.32 |
| Popis: | 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 there exists a uniformly RC-positive complex Finsler metric on $T_X$ . |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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