Year: 2026
Type: preprint
Abstract: We construct a complex structure on $T^2\times S^4$, giving an affirmative answer to the genus-one case of Calabi's problem. The resulting compact complex threefold is non-Kähler and admits no biholomorphic product decomposition.
Source: arXiv (Cornell University)
Authors: Gao, Min, Tang, Zizhou, Yan, Wenjiao
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G3075367507, G4205328865, G6341262111
OpenAlex ID: W7220721437