Widths of balls and free boundary minimal submanifolds

We observe that the kk-dimensional width of an nn-ball in a space form is given by the area of an equatorial kk-ball. We also discuss the relationship between widths and lower bounds for the area of a free boundary minimal submanifold in a space form ball.

Bibliographic Details
Main Author: Zhu Jonathan J.
Format: Article
Language:English
Published: De Gruyter 2023-01-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2022-0044