Semisymmetry and Ricci-symmetry for Hypersurfaces of Semi-euclidean Spaces
Marta Dabrowska, Filip Defever, Ryszard Deszcz, Dorota Kowalczyk (2000)
Publications de l'Institut Mathématique
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Marta Dabrowska, Filip Defever, Ryszard Deszcz, Dorota Kowalczyk (2000)
Publications de l'Institut Mathématique
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Călin, C. (1996)
Publications de l'Institut Mathématique. Nouvelle Série
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Cícero P. Aquino, Henrique F. de Lima, Fábio R. dos Santos, Marco Antonio L. Velásquez (2015)
Commentationes Mathematicae Universitatis Carolinae
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Our aim is to apply suitable generalized maximum principles in order to obtain characterization results concerning complete linear Weingarten hypersurfaces immersed in a locally symmetric Riemannian manifold, whose sectional curvature is supposed to obey standard constraints. In this setting, we establish sufficient conditions to guarantee that such a hypersurface must be either totally umbilical or an isoparametric hypersurface with two distinct principal curvatures one of which is...
Hájková, V., Kowalski, O., Sekizawa, M.
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Czechoslovak Mathematical Journal
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