Mathematics – Differential Geometry
Scientific paper
2012-04-22
Mathematics
Differential Geometry
18 pages
Scientific paper
In this paper we try to construct quasi-Fuchsian 3-manifolds that contain
arbitrary many incompressible minimal surfaces by using spherical minimal
catenoids as the barrier surfaces. Besides, we use the similar idea to
construct the Jordan curves on the boundary of the hyperbolic 3-space that
bound arbitrarily many minimal surfaces of disk-type.
Wang Biao
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