Height estimates for H-surfaces in the warped product $${\mathbb {M}}\times _{f} {\mathbb {R}}$$ M × f R-Reference-Cited by-同舟云学术

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Height estimates for H-surfaces in the warped product $${\mathbb {M}}\times _{f} {\mathbb {R}}$$ M × f R

Published:2018-06-19 Issue:1 Volume:55 Page:55-67
ISSN:0232-704X
Container-title:Annals of Global Analysis and Geometry
language:en
Short-container-title:Ann Glob Anal Geom

Author:

Folha Abigail,Peñafiel Carlos,Santos Walcy^ORCID

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Analysis

Link

http://link.springer.com/article/10.1007/s10455-018-9618-0/fulltext.html

Reference13 articles.

1. Heinz, H.: On the nonexistence of a surface of constant mean curvature with finite area and prescribed rectifiable boundary. Arch. Ration. Mech. Anal. 35, 249–252 (1969)

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

3. Leandro, C., Rosenberg, H.: A relation between height, area, and volume for compact constant mean curvature surfaces in $$M^2\times {\mathbb{R}}$$ M 2 × R . Michigan Math. J. 61, 123–131 (2012)

4. López, R., Montiel, S.: Constant mean curvature surfaces with planar boundary. Duke Math. J. 3, 583–604 (1996)

5. Salavessa, I.M.C.: Graphs with parallel mean curvature. Proc. Amer. Math. Soc. 107(2), 449–458 (1989)

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. CMC Graphs with Planar Boundary in $$\mathbb {H}^{2}\times \mathbb {R}$$;Bulletin of the Brazilian Mathematical Society, New Series;2022-03-22

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