Publication:
Non-properly embedded minimal planes in hyperbolic 3-space

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Publication Date

2011

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English

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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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Communications in Contemporary Mathematics

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World Scientific Publishing

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Mathematics

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