A Liebmann type theorem for linear Weingarten surfaces
Author:
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s12215-016-0296-0.pdf
Reference18 articles.
1. Aledo, J.A., Alías, L.J., Romero, A.: A new proof of Liebmann classical rigidity theorem for surfaces in space forms. Rocky Mt. J. Math. 35, 1811–1824 (2005)
2. Alías, L.J., García-Martínez, S.C., Rigoli, M.: A maximum principle for hypersurfaces with constant scalar curvature and applications. Ann. Glob. Anal. Geom. 41, 307–320 (2012)
3. Alías, L.J., Kurose, T., Solanes, G.: Hadamard-type theorems for hypersurfaces in hyperbolic spaces. Differ. Geom. Appl. 24, 492–502 (2006)
4. Aquino, C.P., de Lima, H.F., Velásquez, M.A.L.: Generalized maximum principles and the characterization of linear Weingarten in space forms. Mich. Math. J. 63, 27–40 (2014)
5. Barbosa, J.L., Colares, A.G.: Stability of hypersurfaces with constant r-mean curvature. Ann. Glob. Anal. Geom. 15, 277–297 (1997)
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2. Rigidity of Surfaces with Constant Extrinsic Curvature in Riemannian Product Spaces;Bulletin of the Brazilian Mathematical Society, New Series;2020-03-12
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