LW-surfaces with higher codimension and Liebmann’s Theorem in the hyperbolic space
Author:
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/article/10.1007/s40574-019-00196-7/fulltext.html
Reference19 articles.
1. Aledo, J.A., Alías, L.J., Romero, A.: A new proof of Liebmann classical rigidity theorem for surfaces in space forms. Rocky Mont. J. Math. 35, 1811–1824 (2005)
2. Alías, L.J., Kurose, T., Solanes, G.: Hadamard-type theorems for hypersurfaces in hyperbolic spaces. Differ. Geom. Appl. 24, 492–502 (2006)
3. Aquino, C.P., de Lima, H.F.: On the geometry of linear Weingarten hypersurfaces in the hyperbolic space. Monatsh. Math. 171, 259–268 (2013)
4. Aquino, C.P., de Lima, H.F., Velásquez, M.A.L.: Linear Weingarten hypersurfaces with bounded mean curvature in the hyperbolic space. Glasgow Math. J. 57, 653–663 (2015)
5. Caminha, A.: The geometry of closed conformal vector fields on Riemannian spaces. Bull. Braz. Math. Soc. 42, 277–300 (2011)
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1. Characterizing linear Weingarten submanifolds in a Riemannian space form via $L$-parabolicity;Publicationes Mathematicae Debrecen;2024-01-01
2. New rigidity results for complete LW submanifolds immersed in a Riemannian space form via certain maximum principles;Boletín de la Sociedad Matemática Mexicana;2023-02-22
3. Rigidity of spacelike LW-submanifolds in the de Sitter space;Rendiconti del Circolo Matematico di Palermo Series 2;2022-08-29
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