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arXiv · 2206.08431

Poincar\'e metric of holomorphic foliations with non-degenerate singularities

François Bacher
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Abstract

Consider a Brody hyperbolic foliation $\mathscr{F}$ with non-degenerate singularities on a compact complex manifold. We show that its leafwise Poincar\'{e} metric is transversally H\"{o}lder continuous with a logarithmic slope towards the singular set of $\mathscr{F}$.

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François Bacher. 2022-06-16. Poincar\'e metric of holomorphic foliations with non-degenerate singularities. https://doi.org/10.1142/s0129167x23500593

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