Minimal Surfaces in a Cone
نویسنده
چکیده
We prove the convex hull property for properly immersed minimal hypersurfaces in a cone of Rn. We deal with the existence of new barriers for the maximum principle application in noncompact truncated tetrahedral domains of R3, describing the space of such domains admitting barriers of this kind. Nonexistence results for nonflat minimal surfaces whose boundary lies in opposite faces of a tetrahedral domain are obtained. Finally, new simple closed subsets of R3 which have the property of intersecting any properly immersed minimal surface are shown. Mathematics Subject Classifications (2000): Primary 53A10; Secondary 53C42.
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