Uniqueness of PL Minimal Surfaces

作     者：Yi NI 

作者机构：Department of Mathematics Princeton University Princeton New Jersey 08544 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2007年第23卷第6期

页      面：961-964页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the Centennial fellowship of the Graduate School at Princeton University 

主　　题：PL minimal surface hyperbolic geometry Plateau problem 

摘      要：Using a standard fact in hyperbolic geometry, we give a simple proof of the uniqueness of PL minimal surfaces, thus filling in a gap in the original proof of Jaco and Rubinstein. Moreover, in order to clarify some ambiguity, we sharpen the definition of PL minimal surfaces, and prove a technical lemma on the Plateau problem in the hyperbolic space.