Ahlfors theory

English dictionary entry

Meanings

noun
  1. 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.

Word forms

Ahlfors theory Ahlfors' theory Ahlfors' theory of covering surfaces

Etymology

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

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