The Dirichlet problem for constant mean curvature surfaces in Heisenberg space期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The Dirichlet problem for constant mean curvature surfaces in Heisenberg space

Authors:	Luis J. Alías Marcos Dajczer Harold Rosenberg

Affiliation:	(1) Departamento de Matematicas, Universidad de Murcia, Campus de Espinardo, 30100 Espinardo, Murcia, Spain;(2) IMPA, Estrada Dona Castorina, 110, 22460-320 Rio de Janeiro, Brazil;(3) Département de Mathématiques, Université de Paris VII, 2 place Jussieu, 75251 Paris, France

Abstract:	We study constant mean curvature graphs in the Riemannian three- dimensional Heisenberg spaces . Each such is the total space of a Riemannian submersion onto the Euclidean plane ${mathbb{R}^2}$ with geodesic fibers the orbits of a Killing field. We prove the existence and uniqueness of CMC graphs in with respect to the Riemannian submersion over certain domains ${Omega subset mathbb{R}^2}$ taking on prescribed boundary values. L. J. Alías was partially supported by MEC/FEDER project MTM2004-04934-C04-02 and Fundación Séneca project 00625/PI/04, Spain.

Keywords:	35J60 53C42
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