摘要
Let f : C -> C be a holomorphic function such that f (z) not equal 0 for any z is an element of C. We show that if g = vertical bar f (z)vertical bar(2)dz circle times d (z) over bar is a complete Riemannian metric, then f must be a constant. As a corollary we give a new proof of the classical Liouville theorem.
- 出版日期2015-12
- 单位上海理工大学