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arXiv · 2509.06874

Kobayashi-Royden pseudometric on contractible surfaces

Shulim Kaliman
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Abstract

We describe a family of smooth contractible algebraic surfaces $X$ different from $\C^2$ such that $X$ admits dominant holomorphic maps from $\C^2$ and there is a unique line $E$ in $X$ for which the Kobayashi-Royden pseudometric vanishes on the tangent bundle over $X\setminus E$.

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Shulim Kaliman. 2025-09-08. Kobayashi-Royden pseudometric on contractible surfaces. https://arxiv.org/abs/2509.06874

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