Ruiming Liang

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math.DG2026

Remarks on the Complex Structures on $P^{3}$ and $S^{2} \times S^{4}$

Ruiming Liang, Chenhan Liu, Yang Zhang

Assuming the validity of the recently proposed \textit{``A compact complex threefold fibred by tori over the projective line, and the six-sphere''}, we construct an exotic complex…

math.DG2025

Complete Calabi-Yau metrics on noncompact abelian fibered threefolds

Ruiming Liang, Yang Zhang

In this article, we construct complete Calabi-Yau metrics on abelian fibrations $X$ over $C$ . We also provide compactification for $X$ so that the compactified variety has…

Remarks on the Complex Structures on P3 and S2×S4

Complete Calabi-Yau metrics on noncompact abelian fibered threefolds

Remarks on the Complex Structures on $P^{3}$ and $S^{2} \times S^{4}$