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.
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Format: | Article |
Language: | English |
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Academia Brasileira de Ciências
2002-01-01
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Series: | Anais da Academia Brasileira de Ciências |
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Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652002000100004 |