The Fixed Points of an Analytic Self-Mapping

DOI10.2307/2046274zbMath0611.30009OpenAlexW4249753000MaRDI QIDQ3751821

John Franks, Stephen D. Fisher

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2046274

zbMATH Keywords

fixed pointsiterationbranched coverings

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Conformal mappings of special domains (30C20) Fixed points and coincidences in algebraic topology (55M20) Low-dimensional topology of special (e.g., branched) coverings (57M12) Riemann surfaces (30F99)

Related Items (8)

Isolated fixed point sets for holomorphic maps ⋮ On fixed points and determining sets for holomorphic automorphisms ⋮ Periodic points of Hamiltonian surface diffeomorphisms ⋮ Fixed points and determining sets for holomorphic self-maps of a hyperbolic manifold ⋮ Characterization and non-characterization of domains by their isotropy groups ⋮ Automorphism group actions in complex analysis ⋮ Two results on uniqueness of conformal mappings ⋮ Properties of fixed point sets and a characterization of the ball in ${\mathbb C}^n$

Cites Work

• Analytic self-mappings of Riemann surfaces
• The Conformal Group of a Plane Domain
• Unnamed Item

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