Hypersurfaces with constant principal curvatures in Sn×R and Hn×R

Author:

Chaves Rosa M. B.,Santos Eliane

Publisher

Duke University Press

Subject

General Mathematics

Reference24 articles.

1. [1] U. Abresch and H. Rosenberg, A Hopf differential for constant mean curvature surfaces in $\mathbb{S}^{2}\times \mathbb{R}$ and $\mathbb{H}^{2}\times \mathbb{R}$, Acta Math. 193 (2004), no. 2, 141–174.

2. [2] J. A. Aledo, J. M. Espinar, and J. A. Gálvez, Complete surfaces of constant curvature in $H^{2}\times \mathbb{R}$ and $S^{2}\times \mathbb{R}$, Calc. Var. Partial Differ. Equ. 29, (2007), no. 3, 347–363.

3. [3] J. A. Aledo, J. M. Espinar, and J. A. Gálvez, Surfaces with constant curvature in $S^{2}\times\mathbb{R}$ and $H^{2}\times \mathbb{R}$. Height estimates and representation, Bull. Braz. Math. Soc. (N.S.) 38 (2007), no. 4, 533–554.

4. [4] J. Berndt and J. C. Diaz-Ramos, Real hypersurfaces with constant principal curvatures in complex hyperbolic spaces, J. Lond. Math. Soc., II. Ser. 74 (2006), no. 3, 778–798.

5. [5] E. Cartan, “Sur quelques familles remarquables d’hypersurfaces” in Comptes rendus du congrès des sciences mathématiques de Liège, Georges Thone, Liége, 1939, 30–41.

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