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A characterization of Laguerre isoparametric hypersurfaces of the Euclidian space
(Monatshefte für Mathematik, 2018)
Another proof for the rigidity of Clifford minimal hypersurfaces of [S.sup.n]
(2011-10-13)
Let M [subset] [S.sup.n] be a minimal hypersurface, and let us denote by A the shape operator of M. In this paper we give an alternative proof of the theorem that states that if [[absolute value of A].sup.2] = n - 1, then ...
Planar Normal Sections on Isoparametric Hypersurfaces and the infinity laplacian
(Unión Matemática Argentina, 2014-11)
The present article is devoted to present a new characterization of the Cartan isoparametric hypersurfaces in terms of properties of the polynomial, that determines the algebraic set of planar normal sections on the ...
Hypersurfaces of cohomogeneity one and hypersurfaces of revolution
(Elsevier Science BvAmsterdamHolanda, 2004)
Conformal flatness, cohomogeneity one and hypersurfaces of revolution
(Elsevier Science BvAmsterdamHolanda, 1998)
Dupin hypersurfaces with constant Laguerre curvatures
(manuscripta mathematica, 2018)
On Hypersurfaces of Spheres with Two Principal Curvatures
(2011)
In this paper we obtain a classification of hypersurfaces in the Euclidean sphere having two principal curvatures; for some of the results we impose that the sectional curvature (Ricci curvature, resp.) is non-negative Ricci.