Embedded positive constant r-mean curvature hypersurfaces in Mm × R
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Publication:3025120
DOI10.1590/S0001-37652005000200001zbMath1074.53049WikidataQ125949410 ScholiaQ125949410MaRDI QIDQ3025120
Publication date: 4 July 2005
Published in: Anais da Academia Brasileira de Ciências (Search for Journal in Brave)
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Cites Work
- Unnamed Item
- Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern
- Stability of hypersurfaces with constant \(r\)-mean curvature
- Variational properties of functions of the mean curvatures for hypersurfaces in space forms
- Constant Mean Curvature Surfaces in Hyperbolic Space