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arXiv · 2211.16713

Uniformizations of compact Sasakian manifolds

Hisashi Kasuya·Natsuo Miyatake
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Abstract

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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Hisashi Kasuya, Natsuo Miyatake. 2022-11-30. Uniformizations of compact Sasakian manifolds. https://doi.org/10.1093/imrn%2Frnad227

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