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Symmetry of hypersurfaces and the Hopf Lemma
- Source :
- Mathematics in Engineering, Vol 5, Iss 5, Pp 1-9 (2023)
- Publication Year :
- 2023
- Publisher :
- AIMS Press, 2023.
-
Abstract
- 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.
Details
- Language :
- English
- ISSN :
- 26403501
- Volume :
- 5
- Issue :
- 5
- Database :
- Directory of Open Access Journals
- Journal :
- Mathematics in Engineering
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.2fe5a1b157b745a79e90b144b88a106d
- Document Type :
- article
- Full Text :
- https://doi.org/10.3934/mine.2023084?viewType=HTML