Uniformizations of Compact Sasakian Manifolds

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  • Hisashi Kasuya
    Department of Mathematics , Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka, 560-0043, Japan
  • Natsuo Miyatake
    Mathematical Science Center for Co-creative Society , Tohoku University, 468-1 Aramaki Azaaoba, Aoba-ku, Sendai 980-0845, Japan

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<jats:title>Abstract</jats:title> <jats:p>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.</jats:p>

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