Graphs and multi-graphs in homogeneous 3-manifolds with isometry groups of dimension 4-Reference-Cited by-同舟云学术

Graphs and multi-graphs in homogeneous 3-manifolds with isometry groups of dimension 4

Published:2011-10-25 Issue:7 Volume:140 Page:2465-2478
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Peñafiel Carlos

Abstract

We study the existence of multi-graphs which are immersed in E 3 ( κ , τ ) E^3(\kappa ,\tau ) , having constant mean curvature H H , where E 3 ( κ , τ ) E^3(\kappa ,\tau ) is a homogeneous, simply connected 3-manifold whose isometry group has dimension 4.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2012-140-07/S0002-9939-2011-11075-X/S0002-9939-2011-11075-X.pdf

Reference14 articles.

1. Isometric immersions into 3-dimensional homogeneous manifolds;Daniel, Benoît;Comment. Math. Helv.,2007

2. C. Peñafiel, Surfaces of constant mean curvature in homogeneous three manifolds with emphasis in ̃𝑃𝑆𝐿₂(ℝ,𝜏), Doctoral Thesis - PUC-RJ, Brazil, 2010.

3. E. Toubiana, Note sur les Varietes Homogenes de Dimension 3. Preprint.

4. General curvature estimates for stable 𝐻-surfaces in 3-manifolds and applications;Rosenberg, Harold;J. Differential Geom.,2010

5. Graphs with parallel mean curvature;Salavessa, Isabel Maria da Costa;Proc. Amer. Math. Soc.,1989

Cited by 5 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. Generalized Calabi correspondence and complete spacelike surfaces;Asian Journal of Mathematics;2019

2. Immersed hyperbolic and parabolic screw motion surfaces in the space $$\widetilde{\textit{PSL}}_{2}(\mathbb {R},\tau )$$ PSL ~ 2 ( R , τ );Geometriae Dedicata;2015-02-24

3. Screw motion surfaces in $\widetilde{PSL}_2 (\mathbb{R}, \tau)$;Asian Journal of Mathematics;2015

4. The half space property for cmc 1/2 graphs in $$\mathbb {E}(-1,\tau )$$ E ( - 1 , τ );Calculus of Variations and Partial Differential Equations;2014-03-20

5. On Complete Constant Mean Curvature Vertical Multigraphs in $\mathbb{E}(\kappa,\tau)$;The Journal of Geometric Analysis;2013-08-16