Symmetry of hypersurfaces and the Hopf Lemma

Autor: YanYan Li
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Mathematics in Engineering, Vol 5, Iss 5, Pp 1-9 (2023)
Druh dokumentu: article
ISSN: 2640-3501
DOI: 10.3934/mine.2023084?viewType=HTML
Popis: A classical theorem of A. D. Alexandrov says that a connected compact smooth hypersurface in Euclidean space with constant mean curvature must be a sphere. We give exposition to some results on symmetry properties of hypersurfaces with ordered mean curvature and associated variations of the Hopf Lemma. Some open problems will be discussed.
Databáze: Directory of Open Access Journals