Uniformizations of compact Sasakian manifolds
Differential Geometry
2023-10-03 v3
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.
Cite
@article{arxiv.2211.16713,
title = {Uniformizations of compact Sasakian manifolds},
author = {Hisashi Kasuya and Natsuo Miyatake},
journal= {arXiv preprint arXiv:2211.16713},
year = {2023}
}
Comments
v2: Section 3.2 and proof of Theorem 4.1 are corrected. v3: Final version. To appear in IMRN. 10 pages. Comments are welcome