In this paper, we first define a kind of pseudo-distance function and annulus domain on Riemann surfaces, then prove the Hadamard Theorem and the Borel-Carathéodory Theorem on any Riemann surfaces.
文摘In this paper, we first define a kind of pseudo-distance function and annulus domain on Riemann surfaces, then prove the Hadamard Theorem and the Borel-Carathéodory Theorem on any Riemann surfaces.