Inequivalent complexity criteria for free boundary minimal surfaces
Alessandro Carlotto, Giada Franz
TL;DR
This paper explores the relationships between various complexity measures like area, topology, and Morse index in free boundary minimal surfaces, offering new insights beyond existing effective estimates.
Contribution
It provides a comprehensive analysis of how different complexity criteria compare in the global theory of free boundary minimal surfaces, extending beyond known effective bounds.
Findings
Comparison of area, topology, and Morse index in free boundary minimal surfaces
New results on complexity criteria relationships
Extended understanding beyond effective estimates
Abstract
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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