Willmore-Stable Minimal Surfaces

Anthony Gruber, Magdalena Toda, Hung Tran

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

This note surveys recent progress on the Willmore and p-Willmore stability of minimal surfaces in three-dimensional space forms. In particular, the relationship of Willmore stability to classical stability is discussed for minimal surfaces in S3, and it is shown that any minimal immersion into S3 which is p-Willmore stable for some value of p ≥ 2 is persistently p-Willmore stable.

Original languageEnglish
Title of host publicationInternational Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2020
EditorsT.E. Simos, T.E. Simos, T.E. Simos, T.E. Simos, Ch. Tsitouras
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735441828
DOIs
StatePublished - Apr 6 2022
EventInternational Conference on Numerical Analysis and Applied Mathematics 2020, ICNAAM 2020 - Rhodes, Greece
Duration: Sep 17 2020Sep 23 2020

Publication series

NameAIP Conference Proceedings
Volume2425
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2020, ICNAAM 2020
Country/TerritoryGreece
CityRhodes
Period09/17/2009/23/20

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