Author

Si-Cheng An

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Preprint Oct 2026

A Local Approximation Characterization of Oka Manifolds

We introduce the local approximation propert (LAP) and prove that it characterizes Oka manifolds. We prove that LAP yields convex approximation and, in an $n$-dimensional target, propagates across sets of zero $(2n-1)$-dimensional Hausdorff measure. Consequently, strong dominability characterizes Oka manifolds, convex...

Si-Cheng An, Yun Du, Bin Guo et al. · 4 citations · ⚡1

Preprint Oct 2026

Oka manifolds are ubiquitous

We prove that a holomorphic family of connected complex Lie groups has Oka total space if and only if its base is Oka. Extension presentations and generating sections give Oka results for stable and parabolic bundle moduli and for holomorphic mapping and embedding spaces. Every nonempty degree component of maps from a...

Si-Cheng An, Yun Du, Bin Guo et al. · 3 citations