A class of analytic pairs of conjugate functions in dimension three

DOI10.1515/ADVGEOM-2018-0034zbMath1421.53014arXiv1707.00122OpenAlexW2963689840MaRDI QIDQ2322409

Paul Baird, Elsa Ghandour

Publication date: 4 September 2019

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.00122

zbMATH Keywords

generating functionconjugate functionformal power seriesanalytic mappingsemi-conformal mapentire mapping

Mathematics Subject Classification ID

Cauchy-Kovalevskaya theorems (35A10) Algebraic and analytic properties of mappings on manifolds (58K20) Function-theoretic methods (including power series methods and semicontinuous methods) for summability (40C15)

Related Items (1)

Biconformal equivalence between 3-dimensional Ricci solitons

Cites Work

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• On functions with a conjugate
• Bernstein theorems for harmonic morphisms from \({\mathbb R}\) 3 and S 3
• A mapping of Riemannian manifolds which preserves harmonic functions
• Harmonic morphisms between Riemannian manifolds
• Brownian motions and generalized analytic and inner functions
• Semi-conformal polynomials and harmonic morphisms
• CR geometry and conformal foliations
• Lectures on potential theory. 2nd ed., revised and enlarged

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