Liouville theorems for holomorphic maps on pseudo-Hermitian manifolds

DOI10.1007/S12220-021-00832-9zbMath1489.53096arXiv2110.03238OpenAlexW3202151521WikidataQ113899594 ScholiaQ113899594MaRDI QIDQ2074517

Yibin Ren, Haojie Chen

Publication date: 10 February 2022

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

Full work available at URL: https://arxiv.org/abs/2110.03238

zbMATH Keywords

Schwarz lemmaLiouville theoremalmost complex manifoldspseudo-Hermitian manifolds

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60) Negative curvature complex manifolds (32Q05)

Related Items (1)

The differential geometry of curves in \(B^1 \times \mathbb{R}\)

Cites Work

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• A General Schwarz Lemma for Kahler Manifolds
• Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds
• Schwarz‐type lemmas for generalized holomorphic maps between pseudo‐Hermitian manifolds and Hermitian manifolds
• On holomorphic mappings between almost Hermitian manifolds
• General Schwarz Lemmata and their applications
• An Extension of Schwarz's Lemma

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