PreprintarXiv licencearXiv
On compact steady pluriclosed soliton surfaces
Abstract
We complete the classification of non-Kähler steady pluriclosed soliton on compact complex surfaces, as initiated by Streets. The underlying complex structure must be a Hopf surface, with any finite primary cover being of class 1. Moreover, the soliton metric is unique up to biholomorphism.
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BibTeX
@misc{zhang2026compact,
title = {{On compact steady pluriclosed soliton surfaces}},
author = {Junsheng Zhang and Keshu Zhou},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30638},
eprint = {2608.30638},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30638},
}
RIS
TY - UNPB
TI - On compact steady pluriclosed soliton surfaces
AU - Junsheng Zhang
AU - Keshu Zhou
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30638
UR - https://arxiv.org/abs/2608.30638
AB - We complete the classification of non-Kähler steady pluriclosed soliton on compact complex surfaces, as initiated by Streets. The underlying complex structure must be a Hopf surface, with any finite primary cover being of class 1. Moreover, the soliton metric is unique up to biholomorphism.
ER -