Meaning of Ahlfors theory | Babel Free

Definitions

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.

uncountable

Examples

“In this chapter we use Ahlfors' theory of covering surfaces to obtain results on the functional n(r,a).”

“Terms of the form o(A(r)) in Ahlfors theory are given in the form cD(r) where c is a constant.”

“The Ahlfors theory itself describes covering of curves or domains, but not covering of distinct, complex values #92;boldsymbol#123;a#125;.”

CEFR level