Hypersurfaces with $${H_{r+1}}$$ H r + 1 = 0 in $${\mathbb{H}^n \times \mathbb{R}}$$ H n × R-Reference-Cited by-同舟云学术

Hypersurfaces with $${H_{r+1}}$$ H r + 1 = 0 in $${\mathbb{H}^n \times \mathbb{R}}$$ H n × R

Published:2015-10-15 Issue:3-4 Volume:149 Page:507-521
ISSN:0025-2611
Container-title:Manuscripta Mathematica
language:en
Short-container-title:manuscripta math.

Author:

Elbert Maria Fernanda,Nelli Barbara,Santos Walcy

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00229-015-0794-y.pdf

Reference14 articles.

1. Araujo H., Leite M.L.: Two ended hypersurfaces with $${H_r = 0.}$$ H r = 0 . Indiana Univ. Math. J. 61(4), 304 1667–1693

2. Bruce J.W., Giblin P.J.: Curves and Singularities: A Geometrical Introduction to Singularity Theory, 2nd edn. Cambridge University Press, Cambridge (1992)

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

4. Daniel B.: Isometric immersions into $${\mathbb{S}^n \times \mathbb{R}}$$ S n × R and $${\mathbb{H}^n \times \mathbb{R}}$$ H n × R . Trans. Am. Math. Soc. 361(12), 6255–6282 (2009)

5. Elbert, M.F., Sa Earp, R.: Constructions of $${H_r}$$ H r -hypersurfaces, barriers and Alexandrov Theorem in $${\mathbb{H}^n\times\mathbb{R},}$$ H n × R , to be published. In: Annali di Matematica Pura e Applicata (2014). doi: 10.1007/s10231-014-0446-y

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