Uniformizations of Compact Sasakian Manifolds-Reference-Cited by-同舟云学术

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Uniformizations of Compact Sasakian Manifolds

Published:2023-09-27 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Kasuya Hisashi¹,Miyatake Natsuo²

Affiliation:

1. Department of Mathematics , Graduate School of Science, Osaka University, 1-1 Machikaneyama, Toyonaka, Osaka, 560-0043, Japan

2. Mathematical Science Center for Co-creative Society , Tohoku University, 468-1 Aramaki Azaaoba, Aoba-ku, Sendai 980-0845, Japan

Abstract

AbstractWe 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.

Funder

JSPS KAKENHI

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnad227/51775726/rnad227.pdf

Reference22 articles.

1. A foliated Hitchin–Kobayashi correspondence;Baraglia;Adv. Math.,2022

2. On the metric structure of non-Kähler complex surfaces;Belgun;Math. Ann.,2000

3. Normal CR structures on compact 3-manifolds;Belgun;Math. Z.,2001

4. Locally homogeneous aspherical Sasaki manifolds;Baues;Differential Geom. Appl.,2020

5. Higgs bundles and flat connections over compact Sasakian manifolds;Biswas;Comm. Math. Phys.,2021

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