Miyaoka¿Yau-type inequalities for Kahler-Einstein manifolds

Miyaoka¿Yau-type inequalities for Kahler-Einstein manifolds
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DOI:
10.4310/cag.2007.v15.n2.a6
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发表时间:
2007
期刊:
影响因子:
--
通讯作者:
N. Leung
N. Leung
中科院分区:
--
文献类型:
--
作者:
Kwokwai Chan;N. Leung

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研究了Kahler-Einstein流形上的陈氏数不等式及其与均匀化的关系。对于具有c1 > 0的Kahler-Einstein流形,我们证明了一些环面情况下的陈氏数不等式。对于c1 < 0的Kahler-Einstein流形,我们提出了一系列的Chern数不等式,并插值了Yau不等式和Miyaoka不等式。
We investigate Chern number inequalities on Kahler-Einstein manifolds and their relation to uniformization. For Kahler-Einstein manifolds with c1 > 0, we prove certain Chern number inequalities in the toric case. For Kahler-Einstein manifolds with c1 < 0, we propose a series of Chern number inequalities, interpolating Yau’s and Miyaoka’s inequalities.