Abstract
In this paper we give a characterization of the Clifford Torus among the minimal hypersulfaces with constant scalar of curvature immersed in (n+1)-dimensional sphere in terms of its index.
Similar content being viewed by others
References
Barbosa J.L., Colares A.G.,Stability of Hypersurfaces with Constant r-Mean Curvature, preprint.
Berger M., Gauduchon P., Mazet E.,Le Spectre d'une Varìeté Riemannienne. Lectures Notes in Mathematics, Springer-Verlag, Vol.194 (1971).
Chern S.S., do Carmo M., Kobayashi S.,Minimal submanifolds of a sphere with second fundamental form of constant linght; Functional Analysis and Related Fields, Proc. Conf. in Honor of Marshall Stone, Springer, Berlin (1970), 57–75.
Simons J.,Minimal varieties in Riemannian manifolds, Ann. of Math.88 (1968), 62–105.
Urbano F.,Minimal surfaces with low index in the three-dimensional sphere, Proc. Ame. Math. soc.108 (1990), 989–992.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Guadalupe, I., Junior, A.B. & Delgado, J.A. A characterization of the Clifford Torus. Rend. Circ. Mat. Palermo 48, 537–540 (1999). https://doi.org/10.1007/BF02844342
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02844342