Regularity of the leafwise Poincaré metric on singular holomorphic foliations

DOI10.1007/s12220-024-01547-3arXiv2304.14206MaRDI QIDQ6154396

Kaushal Verma, Sahil Gehlawat

Publication date: 15 February 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.14206

zbMATH Keywords

tangent conePoincaré metricsingular Riemann surface foliation

Mathematics Subject Classification ID

Conformal metrics (hyperbolic, Poincaré, distance functions) (30F45) Singularities of holomorphic vector fields and foliations (32S65) Complex vector fields, holomorphic foliations, (mathbb{C})-actions (32M25)

Related Items (1)

A few remarks on the Poincaré metric on a singular holomorphic foliation

Cites Work

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• Riemann surface laminations with singularities
• [https://portal.mardi4nfdi.de/wiki/Publication:2710399 Uniformization and the Poincar� metric on the leaves of a foliation by curves]
• Entropy for hyperbolic Riemann surface laminations I
• Entropy for hyperbolic Riemann surface laminations II
• Uniformization of surface laminations
• Simultaneous uniformization for the leaves of projective foliations by curves
• Hermitian metrics inducing the Poincaré metric, in the leaves of a singular holomorphic foliation by curves
• The Lu Qi-Keng conjecture fails generically
• Two remarks on the Poincaré metric on a singular Riemann surface foliation

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