Surfaces of Constant Mean Curvature in Euclidean 3-space Orthogonal to a Plane along its Boundary

We consider compact surfaces with constant nonzero mean curvature whose boundary is a convex planar Jordan curve. We prove that if such a surface is orthogonal to the plane of the boundary, then it is a hemisphere.

Bibliographic Details
Main Author: HINOJOSA PEDRO A.
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2002-01-01
Series:Anais da Academia Brasileira de Ciências
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652002000100004