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arXiv 1908.047092019-08math.DG

Inequivalent complexity criteria for free boundary minimal surfaces

Alessandro Carlotto, Giada Franz

备注：: Final preprint version, to appear in Advances in Mathematics

英文摘要：

We obtain a series of results in the global theory of free boundary minimal surfaces, which in particular provide a rather complete picture for the way different complexity criteria, such as area, topology and Morse index compare, beyond the regime where effective estimates are at disposal.

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