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arXiv · 2608.30638

On compact steady pluriclosed soliton surfaces

Junsheng Zhang·Keshu Zhou
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Abstract

We complete the classification of non-K\"ahler 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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Junsheng Zhang, Keshu Zhou. 2026-08-31. On compact steady pluriclosed soliton surfaces. https://arxiv.org/abs/2608.30638

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