Word.ws English Dictionary

Ahlfors theory

Ahlfors theory noun: a geometric counterpart to Nevanlinna theory that extends the applicability of the concept of covering surface (of a topological space) by defining a covering number (a generalised "degree of covering") applicable to any bordered Riemann surface equipped with a conformal Riemannian metric.

Noun

Ahlfors theory (uncountable)

  1. (differential geometry) A geometric counterpart to Nevanlinna theory that extends the applicability of the concept of covering surface (of a topological space) by defining a covering number (a generalised "degree of covering") applicable to any bordered Riemann surface equipped with a conformal Riemannian metric.
    • In this chapter we use Ahlfors' theory of covering surfaces to obtain results on the functional n(r,a).1968, Joseph Belsley Miles, The Asymptotic Behavior of the Counting Function for the A-values of a Meromorphic Function, University of Wisconsin-Madison, page 29
    • Terms of the form o(A(r)) in Ahlfors theory are given in the form cD(r) where c is a constant.1986, Pacific Journal of Mathematics, volumes 122-123, page 441

Forms of Ahlfors theory

alternative formAhlfors' theory
alternative formAhlfors' theory of covering surfaces

Origin of Ahlfors theory

Named after Finnish mathematician Lars Ahlfors (1907—1996), who published the theory in 1935.

Questions about Ahlfors theory

What does Ahlfors theory mean?
Ahlfors theory means a geometric counterpart to Nevanlinna theory that extends the applicability of the concept of covering surface (of a topological space) by defining a covering number (a generalised "degree of covering") applicable to any bordered Riemann surface equipped with a conformal Riemannian metric.
What part of speech is Ahlfors theory?
Ahlfors theory is a noun.

Words near Ahlfors theory in the dictionary

  1. Ahle Quran
  2. Ahle-Quran
  3. Ahlen
  4. ahlfeldite
  5. Ahlfors
  6. Ahlfors theory
  7. Ahlgren
  8. Ahlgrens
  9. Ahlgrim
  10. Ahlgrims
  11. Ahli Quran

Source and license

Adapted from Wiktionary: Ahlfors theory (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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