A Weierstrass Representation Formula for Minimal Surfaces in H_3 and H^2×R

作     者：Francesco MERCURI StefanoMONTALDO PaolaPIU 

作者机构：Departamento de Matematica.C.P.6065IMECCUNICAMP UniversitàdegliStudi di CagliariDipartimento di Matematica 

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

年 卷 期：2006年第22卷第6期

页      面：1603-1612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：Work partially supported by RAS INdAM FAPESP and CNPq 

主　　题：Minimal immersions Weierstrass representation Heisenberg group Hyperbolic space 

摘      要：We give a general setting for constructing a Weierstrass representation formula for simply connected minimal surfaces in a Riemannian manifold. Then, we construct examples of minimal surfaces in the three dimensional Heisenberg group and in the product of the hyperbolic plane with the real line.