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Graphs and multi-graphs in homogeneous 3-manifolds with isometry groups of dimension 4
Author:
Carlos Peñafiel
Journal:
Proc. Amer. Math. Soc. 140 (2012), 2465-2478
MSC (2000):
Primary 53A35
Posted:
October 25, 2011
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Additional Information
Abstract: We study the existence of multi-graphs which are immersed in  , having constant mean curvature  , where  is a homogeneous, simply connected 3-manifold whose isometry group has dimension 4.
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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
DOI:
http://dx.doi.org/10.1090/S0002-9939-2011-11075-X
PII:
S 0002-9939(2011)11075-X
Keywords:
Constant mean curvature,
graphs and multi-graphs,
homogeneous 3-manifolds
Received by editor(s):
July 29, 2010
Received by editor(s) in revised form:
February 14, 2011
Posted:
October 25, 2011
Additional Notes:
The author was supported by FAPER, Brazil
Communicated by:
Jianguo Cao
Article copyright:
© Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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