Communications in Analysis and Geometry
Volume 27 (2019)
The width of ellipsoids
Pages: 251 – 285
We compute the $k$-width of a round $2$-sphere for $k = 1, \dotsc , 8$ and we use this result to show that unstable embedded closed geodesics can arise with multiplicity as a min-max critical varifold.
The author was supported by a CNPq-Brasil Scholarship.
Received 2 August 2016
Accepted 23 March 2017
Published 23 August 2019