PreprintarXiv licencearXiv
Orthogonal complex structures on flat tori
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.
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BibTeX
@misc{wang2026orthogonal,
title = {{Orthogonal complex structures on flat tori}},
author = {Qingsong Wang and Shing-Tung Yau and Fangyang Zheng},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.08238},
eprint = {2609.08238},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08238},
}
RIS
TY - UNPB
TI - Orthogonal complex structures on flat tori
AU - Qingsong Wang
AU - Shing-Tung Yau
AU - Fangyang Zheng
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.08238
UR - https://arxiv.org/abs/2609.08238
AB - 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.
ER -