抄録
We give a bound of the number of omitted values by a meromorphic function of finite energy on parabolic manifolds in terms of Ricci curvature and the energy of the functions. An analogy of Nevanlinna's theorems based on heat diffusions is used. We also show that meromorphic functions whose energy satisfies some growth condition on algebraic varieties can omit at most two points as a corollary to our main theorems.
本文言語 | English |
---|---|
ページ(範囲) | 1008-1025 |
ページ数 | 18 |
ジャーナル | Journal of Geometric Analysis |
巻 | 20 |
号 | 4 |
DOI | |
出版ステータス | Published - 2010 10月 |
ASJC Scopus subject areas
- 幾何学とトポロジー