An expression of harmonic vector fields on hyperbolic 3-cone manifolds in terms of hypergeometric functions

DOI10.2977/prims/1201012040zbMath1138.58005OpenAlexW2130844124MaRDI QIDQ2475482

Hiroyuki Ochiai, Michihiko Fujii

Publication date: 11 March 2008

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1201012040

zbMATH Keywords

ordinary differential equationFuchsian typeRiemann's \(P\)-equationring of differential equations

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Linear ordinary differential equations and systems (34A30) General geometric structures on low-dimensional manifolds (57M50) Rings of differential operators (associative algebraic aspects) (16S32) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery
• Three-dimensional orbifolds and cone-manifolds
• Hyperbolic 3-manifolds singular along knots
• An Algorithm for Solving Linear Ordinary Differential Equations of Fuchsian Type with Three Singular Points
• Unnamed Item

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