Constructions of $$H_r$$ H r -hypersurfaces, barriers and Alexandrov theorem in $$\mathrm{I\!H}^n\times \mathrm{I\!R}$$ I H n × I R

Author:

Elbert Maria Fernanda,Sa Earp Ricardo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference23 articles.

1. Alexandrov, A.D.: Uniqueness theorems for surfaces in the large. V, Vestnik, Leningrad Univ. 13 (1958). English translation: AMS Transl. 21, 412–416 (1962)

2. Aledo, J.A., Espinar, J.M., Gálvez, J.A.: Height estimates for surfaces with positive constant mean curvature in $$M^2\times \mathbb{R}$$ M 2 × R . Ill. J. Math. 52(1), 203–211 (2008)

3. Barbosa, J.L., Colares, A.G.: Stability of hypersurfaces with constant r-mean curvature. Ann. Global Anal. Geom. 15, 277–297 (1997)

4. Bérard, P., Sa Earp, R.: Minimal hypersurfaces in $$\mathbb{H}^n\times \mathbb{R}$$ H n × R , total curvature and index. arXiv:0808.3838v3 [math.DG]

5. Bérard, P., Sa Earp, R.: Examples of H-hypersurfaces in $$\mathbb{H}^n\times \mathbb{R}$$ H n × R and geometric applications. Mat. Contemp. 34, 19–51 (2008)

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