最終更新日：2025/12/06
(complex analysis, 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.
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Ahlfors theory
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元となった辞書の項目
Ahlfors theory
名詞
不可算名詞
(complex
analysis,
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.
日本語の意味
Ahlfors理論は、複素解析および微分幾何学において、Nevanlinna理論の幾何学的対極として位置づけられる理論です。この理論では、境界のあるリーマン面に共形リーマン計量を付与することで、位相空間の被覆面の概念を拡張し、一般化された「被覆次数」（覆い数）の概念を定義しています。
意味（1）
(complex
analysis,
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.
