Work

Orthogonal complex structures on flat tori

Year: 2026

Type: preprint

Abstract: We classify compact Hermitian manifolds with flat Levi-Civita connection. This is equivalent to the classification of all orthogonal complex structures on flat tori. It generalized the work of Khan, Yang, and Zheng in 2017 where they solved the case in complex dimension three.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.08238

Authors: Wang, Qingsong, Yau, Shing-Tung, Zheng, Fangyang

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Awards: G3604482852, G4952392286

OpenAlex ID: W7211986168

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