Balanced metrics on uniruled manifolds
Balanced metrics on uniruled manifolds
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DOI：
10.4310/cag.2019.v27.n2.a3
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发表时间：
2014-08
影响因子：
0.7
通讯作者：
Ionuţ Chiose;R. Răsdeaconu;I. Şuvaina
中科院分区：
文献类型：
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作者：
Ionuţ Chiose;R. Răsdeaconu;I. Şuvaina
我们证明了一个$n-$维Moishezon流形是unirulated当且仅当它支持一个正的全标量Chern曲率的平衡度量$\omega^{n-1}$。类似的陈述也适用于三维度的$\mathcalC $类流形。
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.