Work

On compact steady pluriclosed soliton surfaces

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.30638

Authors: Zhang, Junsheng, Zhou, Keshu

Institutions: Courant Institute of Mathematical Sciences, New York University

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204923191

Cites: 1

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Related to: 10