Graphs and multi-graphs in homogeneous 3-manifolds with isometry groups of dimension 4
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Abstract:
We study the existence of multi-graphs which are immersed in $E^3(\kappa ,\tau )$, having constant mean curvature $H$, where $E^3(\kappa ,\tau )$ is a homogeneous, simply connected 3-manifold whose isometry group has dimension 4.References
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Additional Information
- Carlos Peñafiel
- Affiliation: Instituto de Matemática, Universidade Federal de Rio de Janeiro, Rio de Janeiro, 22453-900, Brazil
- Email: penafiel@im.ufrj.br
- Received by editor(s): July 29, 2010
- Received by editor(s) in revised form: February 14, 2011
- Published electronically: October 25, 2011
- Additional Notes: The author was supported by FAPER, Brazil
- Communicated by: Jianguo Cao
- © Copyright 2011
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 140 (2012), 2465-2478
- MSC (2000): Primary 53A35
- DOI: https://doi.org/10.1090/S0002-9939-2011-11075-X
- MathSciNet review: 2898709