The Width of Ellipsoids

2016/01/06 by Nicolau Sarquis Aiex, Aiex, Nicolau Sarquis · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.1601.01032

28 pages, 1 figure, revised proofs and corrected typos

arxiv created 2016/02/26 · arxiv updated 2016/02/29

Abstract

We compute the k-width of a round 2-sphere for k=1,…,8 and we use this result to show that unstable embedded closed geodesics can arise with multiplicity as a min-max critical varifold.

Cited by

• The p-widths of a polygon

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• Index, Intersections, and Multiplicity of Min-Max Geodesics