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ON MINIMAL SURFACES SATISFYING THE OMORI–YAU PRINCIPLE
Published online by Cambridge University Press: 16 June 2011
Abstract
Complete minimal immersions satisfying the Omori–Yau maximum principle are investigated. It is shown that the limit set of a proper immersion into a convex set must be the whole boundary of the convex set. In case of a nonproper and nonplanar immersion we prove that the convex hull of the immersion is a half-space or ℝ3.
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- Research Article
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- Copyright © Australian Mathematical Publishing Association Inc. 2011
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