论文标题

紧凑的Sasakian歧管的均匀化

Uniformizations of compact Sasakian manifolds

论文作者

Kasuya, Hisashi, Miyatake, Natsuo

论文摘要

我们给出了一个紧凑型Sasakian歧管的标准,该标准将变形为Sasakian歧管,这些歧管是局部同构的圆形抗圆形捆绑包的抗典型捆绑包,而不是Hermitian对称空间,这是Simpson的Simpson统一化结果的Sasakian类似物,与Hodge结构和Higgs的变化相关。

We give a criterion for compact Sasakian manifolds to be deformed to Sasakian manifolds which are locally isomorphic to circle bundles of anti-canonical bundles over Hermitian symmetric spaces as a Sasakian analogue of Simpson's uniformization results related to variations of Hodge structure and Higgs bundles.

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