Uniformizations of compact Sasakian manifolds

Published 30 Nov 2022 in math.DG | (2211.16713v3)

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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