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arXiv · 1103.5180

Extensions of Calabi's correspondence between minimal surfaces and maximal surfaces

Hojoo Lee
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Abstract

The main goal of this survey is to illustrate geometric applications of the Poincaré Lemma to constant mean curvature equations. In 1970, Calabi introduced the duality between minimal graphs in three dimensional Euclidean space and maximal graphs in three dimensional Lorentz space. We construct two extensions of Calabi's correspondence.

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Hojoo Lee. 2011-04-19. Extensions of Calabi's correspondence between minimal surfaces and maximal surfaces. https://arxiv.org/abs/1103.5180

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