Publication: Non-properly embedded minimal planes in hyperbolic 3-space
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Publication Date
2011
Language
English
Type
Journal Article
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Abstract
In this paper, we show that there are non-properly embedded minimal surfaces with finite topology in a simply connected Riemannian 3-manifold with non-positive curvature. We show this result by constructing a non-properly embedded minimal plane in H3. Hence, this gives a counterexample to Calabi–Yau conjecture for embedded minimal surfaces in negative curvature case.
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Source:
Communications in Contemporary Mathematics
Publisher:
World Scientific Publishing
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Subject
Mathematics