Widths of balls and free boundary minimal submanifolds

Autor: Jonathan J. Zhu
Rok vydání: 2022
Předmět:
DOI: 10.48550/arxiv.2203.10031
Popis: We observe that the $k$-dimensional width of an $n$-ball in a space form is given by the area of an equatorial $k$-ball. We also investigate related lower bounds for the area of a free boundary minimal submanifold in a space form ball.
Comment: 15 pages; corrected a gap in Section 3.3
Databáze: OpenAIRE