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arXiv · 1405.3712

Min-max minimal hypersurfaces in non-compact manifolds

Rafael Montezuma
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Abstract

In this work we prove the existence of embedded closed minimal hypersurfaces in non-compact manifolds containing a bounded open subset with smooth and strictly mean-concave boundary and a natural behavior on the geometry at infinity. For doing this, we develop a modified min-max theory for the area functional following Almgren and Pitts' setting, to produce minimal surfaces with intersecting properties.

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Rafael Montezuma. 2014-05-14. Min-max minimal hypersurfaces in non-compact manifolds. https://arxiv.org/abs/1405.3712

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